1. Argyros, I.K. and S. Hilout, 2016. The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. J. Comput. Appl. Math., 291: 332-347.
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2. Anastassiou, G. A. and I.K. Argyros, 2016. Approximating fixed points with applications in fractional calculus. J. Comput. Anal. Appli., 21: 1225-1242.
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3. Sahu, D.R., Y.J. Cho, R.P. Agarwal and I.K. Argyros, 2015. Accessibility of solutions of operator equations by Newton-like methods. J. Complexity, 31: 637-657.
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4. Magrenana, A.A. and I.K. Argyros, 2015. New improved convergence analysis for the secant method. Math. comput. Simul., 119: 161-170.
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5. Magrenan, A.A. and I.K. Argyros, 2015. New semilocal and local convergence analysis for the secant method. Appl. Math. Comput., 262: 298-307.
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6. Magrenan, A.A. and I.K. Argyros, 2015. Improved convergence analysis for Newton -like methods. NUMA, 10.1007/s11075-015-0025-3.
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7. Magrenan, A.A. and I.K. Argyros, 2015. Ball convergence theorems for eighth order variants of Newton's method under weak conditions Arab. J. Math., 4: 81-90.
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8. Magrenan, A.A. and I.K. Argyros, 2015. Ball convergence theorems for Maheshari -type eighth order methods under weak conditions. Sao Paolo J. Math., 10.1007/s40863-015-0009-1.
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9. Magrenan, A.A. and I.K. Argyros, 2015. Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations. SeMA J., 71: 39-55.
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10. George, S. and I.K. Argyros, 2015. Local convergence of deformed Halley method in Banach space under Holder continuity conditions. J. Non. Sc. Appli., 8: 246-254.
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11. George, S. and I.K. Argyros, 2015. Iterative regularization methods for nonlinear ill-posed operator equations with m-accretive mappings in Banach space. Acta Math. Sinica, 35: 1318-1324.
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12. Argyros, I.K., M.A. Hernandez, S. Hilout and N. Romero, 2015. Directional Chebyshev-type methods for solving equations. Math. Comput., 84: 815-830.
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13. Argyros, I.K., J.A. Ezquerro, M.A. Hernandez, N. Romero and A. I. Velasco, 2015. Expanding the applicability of Secant-like methods for solving nonlinear equations. Carpathian Math. J., 31: 11-30.
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14. Argyros, I.K., A. Cordero, A. Magrenan and J.R. Torregrosa, 2015. On the convergence of a damped Newton-like method with modified right hand side vector. Appl. Math. Comput., 266: 927-936.
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15. Argyros, I.K., A. Cordero, A. Magrenan and J.R. Torregrosa, 2015. On the convergence of a Damped Secant method with modified right-hand side vector. Appl. Math. Comput., 252: 315-323.
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16. Argyros, I.K. and S. George, 2015. The asymptotic mesh independence principle of Newton's method under weaker conditions. Adav. Appli. Math. Sci., 14: 29-45.
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17. Argyros, I.K. and S. George, 2015. On a sixth order Jarratt-type method in Banach spaces. Asian Eur. J. Math., .
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18. Argyros, I.K. and S. George, 2015. Local convergence of a deformed Jarratt-type method in Banach space without inverses. J. Nonlinear Sc. Appl., 8: 246-253.
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19. Argyros, I.K. and S. George, 2015. Local convergence for an efficient eighth order iterative method with a parameter for solving equations under weak conditions. Int. J. Appl. Comput. Math., 10.1007/s40819-015-0078-y.
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20. Argyros, I.K. and S. George, 2015. A unified local convergence for Jarratt-type methods in Banach space under weak conditions Thai J. Math., 13: 165-176.
21. Argyros, I.K. and S. George, 2015. A unified local convergence for Chebyshev-Halley-type methods under weak conditions. Mathematica, 60: 463-470.
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22. Argyros, I.K. and A.A. Magrenan, 2015. On the convergence of inexact two-point Newton-like methods on Banach spaces. Appl. Math. Comput., 265: 893-902.
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23. Argyros, I.K. and A.A. Magrenan, 2015. Extended convergence results for the Newton-Kantorovich iteration. J. Comput. Appl. Math., 286: 54-67.
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24. Argyros, I.K. and A.A. Magrenan, 2015. Expanding the applicability of the secant method under weaker conditions in Banach space. Appl. Math. Comput., 266: 1000-1012.
25. Argyros, I.K. and S. George, 2015. Ball comparison between two optimal eight-order methods under weak conditions. SeMA J., 72: 1-11.
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26. Argyros, I.K. and A.A.Magrenan, 2015. On the convergence of an optimal fourth order family of methods and its dynamics. Appl. Math. Comput., 252: 336-346.
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27. Argyros, I. K., J. A. Ezquerro, M. A. Hernandez-Veron, S. Hilout and A.A. Magrenan, 2015. Enlarging the convergence domain of secant-like methods for equations. Taiwanese J.Math., 19: 629-652.
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28. Argyros, I. K. and S.K. Khattri, 2015. Improved error analysis for Newton's method for a certain class of operators. Mathematica, 60: 109-122.
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29. Argyros, I. K. and S. George, 2015. Expanding the convergence domain of Newton like methods and applications in Banach space. Punjab Univ., 47: 1-13.
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30. Anastassiou, G. A. and I.K. Argyros, 2015. Newton-type methods on generalized Banach spaces and applications in fractional calculus. Algorithms, 8: 832-849.
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31. Anastassiou, G. A. and I.K. Argyros, 2015. Convergence for iterative methods on Banach spaces of a convergence structure with Applications in fractional calculus. SeMA J., 71: 23-37.
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32. Shobha, M.E., I.K. Argyros and S. George, 2014. Newton-type iterative methods for nonlinear ill-posed Hammerstein-type equations. Applic. Mathemat., 41: 107-129.
33. Ren, H., I.K. Argyros and Y.J. Cho, 2014. Semilocal convergence of steffensen-type algorithms for solving nonlinear equations. Numer. Funct. Anal. Optimiz., 35: 1476-1499.
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34. Magrenan, A.A. and I.K. Argyros, 2014. Extending the applicability of Gauss-Newton method for convex optimization on Riemannian manifolds. Appl. Math. Comput., 249: 453-467.
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35. Magrenan, A.A. and I.K. Argyros, 2014. Expanding the applicability of the Gauss-Newton method for convex optimization under a majorant condition. SeMA J., 65: 37-51.
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36. Khattri, S.K. and I.K. Argyros, 2014. Fixed point for operators with generalized Holder derivative Asian Eur. J. Math., 7: 1-24.
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37. George, S. and I.K. Argyros, 2014. Local convergence of two competing third order methods in Banach space Appl. Math., 41: 341-350.
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38. George, S. and I.K. Argyros, 2014. Expanding the applicability of the Gauss-Newton method for convex optimization under a regularity condition. CANA, 21: 29-44.
39. Argyros, I.K., Y.J. Cho and S.K. Khattri, 2014. On the convergence of Broyden's method in Hilbert spaces. Applied Math. Comput., 242: 945-951.
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40. Argyros, I.K., Y.J. Cho and S. George, 2014. On the terra incognita for the newton-kantrovich method with applications. J. Korean Math. Soc., 51: 251-266.
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41. Argyros, I.K., S. Hilout and S.K. Khattri, 2014. Expanding the applicability of Newton's method using the Smale alpha theory. J. Comput. Applied Math., 261: 183-200.
42. Argyros, I.K., S. Hilout and A.A. Magrenan, 2014. Robust semi-local convergence analysis for inexact Newton method. Applied Math. Comput., 227: 741-754.
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43. Argyros, I.K., S. George and P. Jidesh, 2014. Inverse free iterative methods for nonlinear Ill-posed operator equations. Int. J. Mathemat. Mathemat. Sci., Vol. 2014. 10.1155/2014/754154.
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44. Argyros, I.K., S. George and M. Kunhanandan, 2014. Iterative regularization for ill-posed Hammerstein-type operator equations in Hilbert scales. Stud.Univ.Babes-Bolyai Math., 2: 247-262.
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45. Argyros, I.K., M.E. Shobha and S. George, 2014. Expanding the applicability of a two step newton-type projection method for ill-posed problems. Funct. Approximat. Commentarii Mathematici, 51: 141-166.
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46. Argyros, I.K., J.M. Gutierrez, A.A. Magrenan and N. Romero, 2014. Convergence of the relaxed Newton's method. J. Korean Math. Soc., 51: 137-162.
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47. Argyros, I.K., D. Gonzalez and A.A. Magrenan, 2014. Majorizing sequences for Newton's method under centered conditions for the derivative. Int. J. Comput. Math., 91: 2568-2583.
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48. Argyros, I.K., D. Gonzalez and A.A. Magrenan, 2014. A semilocal convergence for a uniparametric family of efficient secant-like methods. J. Funct. Spaces, Vol. 2014. 10.1155/2014/467980.
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49. Argyros, I.K. and S.K. Khattri, 2014. Local convergence for a family of third order methods in Banach spaces. Punjab Univ. J. Math., 46: 53-62.
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50. Argyros, I.K. and S.K. Khattri, 2014. Convergence analysis for the two step Newton method of order four. ANTA., 43: 33-44.
51. Argyros, I.K. and S. Hilout, 2014. Weaker convergence for Newton's method under Holder differentiability. Int. J. Computer Mathemat., 91: 1351-1369.
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52. Argyros, I.K. and S. Hilout, 2014. Weaker convergence conditions for the secant method. Applic. Math., 59: 265-284.
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53. Argyros, I.K. and S. George, 2014. On the semilocal convergence of newton's method for sections on riemannian manifolds. Asian-Eur. J. Mathemat., Vol. 7. 10.1142/S1793557114500077.
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54. Argyros, I.K. and H. Ren, 2014. New w-convergence conditions for the Newton-Kantorovich method. J. Mathemat., 46: 75-84.
55. Argyros, I.K. and D. Gonzalez, 2014. Extending the applicability of Newton's method for k-Frechet differentiable operators. Appl. Math. Comput., 234: 167-178.
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56. Argyros, I.K. and D. Gonzalez, 2014. Extending the applicability of Newton's method by improving a local result due to Dennis and Schnabel. SeMA J., 63: 53-63.
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57. Argyros, I.K. and A.A. Magrenan, 2014. A unified convergence analysis for secant-type methods. J. Kor. Math. Soc., 51: 1155-1175.
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58. Argyros, I.K. and A.A. Magrecan, 2014. Relaxed secant-type methods. Nonlinear Stud., 21: 485-503.
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59. Amat, S., I.K. Argyros, S. Busquier, R. Castro, S. Hilout and S. Plaza, 2014. Traub-type high order iterative procedures on Riemannian manifolds. SeMA J., 63: 27-52.
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60. Amat, S., I.K. Argyros, S. Busquier, R. Castro, S. Hilout and S. Plaza, 2014. Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Applied Mathemat. Comput., 227: 762-787.
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61. Amat, S., I.K. Argyros and A.A. Magrenan, 2014. Local convergence of the Gauss-Newton method for injective overdetermined systems under the majorant condition. J. Kor. Math. Soc., 51: 955-970.
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62. Torregrosa, J.R., I.K. Argyros, C. Chun, A. Cordero and F. Soleymani, 2013. Iterative methods for nonlinear equations or systems and their applications. J. Applied Mathemat., Vol. 2013. 10.1155/2013/656953.
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63. Ren, H., L. Wu, W. Bi and I.K. Argyros, 2013. Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals. Applied Mathemat. Comput., 219: 10967-10973.
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64. George, S. and I.K. Argyros, 2013. Tikhonov's regularization and a cubic convergent iterative approximation for nonlinear ill-posed problems. Adv. Applic. Mathemat. Sci., 12: 463-479.
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65. Argyros, I.K., Y.J. Cho and S.K Khattri, 2013. On a new semilocal convergence analysis for the Jarratt method. Applications,, Vol. 1. 10.1186/1029-242X-2013-194.
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66. Argyros, I.K., J.A. Ezquerro, J.M. Gutierrez, M.A. Hernandez and S. Hilout, 2013. Chebyshev-secant-type methods for non-differentiable operators. Milan J. Math., 81: 25-35.
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67. Argyros, I.K. and S.K. Khattri, 2013. An improved semilocal convergence analysis for the Chebyshev method. J. Applied Mathemat. Comput., 42: 509-528.
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68. Argyros, I.K. and S.K. Khattri, 2013. An improved convergence analysis of newton's method for twice frechet differentiable operators. Applic. Mathemat., 40: 459-481.
69. Argyros, I.K. and S.K. Khattri, 2013. A unifying semi-local analysis for iterative algorithms of high convergence order. J. Nonlinear Anal. Optim.: Theory Applic., 4: 85-103.
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70. Argyros, I.K. and S.K. Khattri, 2013. A new convergence analysis for the two-step Newton method of order three. Proyecciones (Antofagasta), , 32: 73-79.
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71. Argyros, I.K. and S. Hilout, 2013. Superquadratic method for generalized equations under relaxed condition on the second Frechet derivative. PUJM, 45: 1-7.
72. Argyros, I.K. and S. Hilout, 2013. On the semilocal convergence of Steffensen's method using decreasing majorizing sequences. Trans. Math. Program. Applied, 1: 105-115.
73. Argyros, I.K. and S. Hilout, 2013. On the quadratic convergence of Newton's method under center-Lipschitz but not necessarily Lipschitz hypotheses. Mathematica Slovaca, 63: 621-638.
74. Argyros, I.K. and S. Hilout, 2013. On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. J. Comput. Applied Math., 245: 1-9.
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75. Argyros, I.K. and S. Hilout, 2013. On the convergence of Newton-like methods for solving equations using slantly differentiable operators. Trans. Math. Program. Applied, 1: 117-127.
76. Argyros, I.K. and S. Hilout, 2013. On the computation of fixed points for random operator equations. J. Nonlinear Anal. Optim.: Theory Applic., 4: 105-114.
77. Argyros, I.K. and S. Hilout, 2013. On an improved convergence analysis of Newton's method. Applied Mathemat. Comput., 225: 372-386.
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78. Argyros, I.K. and S. Hilout, 2013. Newton-Steffensen-type method for perturbed nonsmooth Subanalytic Variational inequalities. J. Math., 45: 63-75.
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79. Argyros, I.K. and S. Hilout, 2013. Local convergence analysis of proximal Newton-Gauss method. Trans. Math. Program. Applied, 1: 41-58.
80. Argyros, I.K. and S. Hilout, 2013. Improved local convergence of Lavrentiev regularization for ill-posed problems. Trans. Math. Program. Applied, 1: 65-76.
81. Argyros, I.K. and S. Hilout, 2013. Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. J. Franklin Instit., 350: 1531-1544.
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82. Argyros, I.K. and S. Hilout, 2013. Extending the applicability of the mesh independence principle for solving nonlinear equations. Trans. Math. Program. Applied, 1: 15-26.
83. Argyros, I.K. and S. Hilout, 2013. Extending the applicability of Newton's method using nondiscrete induction. Czechoslovak Math. J., 63: 115-141.
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84. Argyros, I.K. and S. Hilout, 2013. Extending the applicability of Newton's method on Lie groups. Applied Mathem. Comput., 219: 10355-10365.
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85. Argyros, I.K. and S. Hilout, 2013. Expanding the applicability of two-point Newton-like methods under generalized conditions. Applic. Math., 40: 63-90.
86. Argyros, I.K. and S. Hilout, 2013. Estimating upper bounds on the limit points of majorizing sequences for Newton's method. Numerical Algorithms, 62: 115-132.
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87. Argyros, I.K. and S. Hilout, 2013. Directional secant-type methods for solving equations. J. Optimiz. Theory Applic., 157: 462-485.
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88. Argyros, I.K. and S. George, 2013. Modification of the kantorovich-type conditions for newton's method involving twice frechet differentiable operators. Asian-Eur. J. Mathem., Vol. 6. 10.1142/S1793557113500265.
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89. Argyros, I.K. and S. George, 2013. Extending the applicability of newton's method on riemannian manifolds with values in a cone. Asian-Eur. J. Mathemat., Vol. 6. .
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90. Argyros, I.K. and S. George, 2013. Expanding the applicability of a two step newton lavrentiev method for Ill-posed problems. J. Nonlinear Anal. Optim.: Theory Applic., 4: 1-15.
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91. Argyros, I.K. and S. George, 2013. Expanding the applicability of a Modified Gauss-Newton method for solving nonlinear ill-posed problems. Appl. Math. Comput., 219: 10518-10526.
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92. Argyros, I.K. and R. Verma, 2013. New approach to relaxed proximal point algorithms based on a maximal monotonicity frameworks and applications. Adv. Nonlinear Var. Ineq., 16: 123-135.
93. Argyros, I.K. and L.U. Uko, 2013. A semilocal convergence analysis of an inexact Newton method using recurrent relations. J. Math., 45: 25-32.
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94. Argyros, I.K. and H. Ren, 2013. Efficient steffensen-type algorithms for solving nonlinear equations. Int. J. Comput. Mathemat., 90: 691-704.
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95. Argyros, I.K. and D. Gonzalez, 2013. Unified majorizing sequences for Traub-type multipoint iterative procedures. Numerical Algorithms, 64: 549-565.
96. Argyros, I.K. and S.K. Khattri, 2013. Inexact newton method under weak and center-weak lipschitz conditions. Applic. Math., 40: 237-258.
97. Amat, S., I.K. Argyros, S. Busquier, R. Castro, S. Hilout and S. Plaza, 2013. On a bilinear operator free third order method on Riemannian manifolds. Applied Mathemat. Comput., 219: 7429-7444.
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98. Uko, L.U. and I.K. Argyros, 2012. An extension of Argyros' Kantorovich-type solvability theorem for nonlinear equations. Pan Am. Math. J., 22: 57-66.
99. Ren, H. and I.K. Argyros, 2012. On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Frechet derivative. Applied Math. Comput., 218: 11488-11495.
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100. Ren, H. and I.K. Argyros, 2012. Local convergence of efficient Secant-type methods for solving nonlinear equations. Applied Math. Comput., 218: 7655-7664.
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101. Ren, H. and I.K. Argyros, 2012. Improved local analysis for a certain class of iterative methods with cubic convergence. Numerical Algorithms, 59: 505-521.
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102. Khattri, S.K. and I.K. Argyros, 2012. Sixteenth order iterative methods without restraint on derivatives. Applied Math. Sci., 6: 6477-6486.
103. Argyros, I.K., 2012. On the solution of nonsmooth generalized equations. PanAm. Math. J., 22: 99-105.
104. Argyros, I.K., 2012. On the solution of generalized equations under Holder continuity conditions. Nonlinear Funct. Anal. Applied, 17: 249-254.
105. Argyros, I.K., 2012. On the gausss-newton method for solving equation. Proyecciones J. Math., 31: 11-24.
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106. Argyros, I.K., 2012. On the convergence of Newton's method for set valued maps under weak conditions. Korean J. Math., 20: 117-123.
107. Argyros, I.K., 2012. A unifying semilocal convergence analysis for Newton-like methods under weak and Gateaux differentiability conditions. Nonlinear Funct. Anal. Applied, 17: 443-458.
108. Argyros, I.K. and S.K. Khattri, 2012. On the convergence of Newton's method under uniformly continuity conditions. Nonlinear Funct. Anal. Applied, 17: 519-537.
109. Argyros, I.K. and S.K. Khattri, 2012. A finer discretization and mesh independence of Newton's method for solving generalized equations. Nonlinear Funct. Anal. Applied, 17: 539-563.
110. Argyros, I.K. and S. Hilout, 2012. Weaker conditions for the convergence of Newton's method. J. Complexity, 28: 364-387.
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111. Argyros, I.K. and S. Hilout, 2012. Traub-potra type method for set-valued maps. Aust. J. Math. Anal. Applied, 9: 1-11.
112. Argyros, I.K. and S. Hilout, 2012. Secant-type methods and nondiscrete induction. Numerical Algorithms, 61: 397-412.
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113. Argyros, I.K. and S. Hilout, 2012. On the semilocal convergence of the secant method with regularly continuous divided differences. Commun. Applied Nonlinear Anal., 19: 55-59.
114. Argyros, I.K. and S. Hilout, 2012. On the semilocal convergence of damped Newton's method. Applied Math. Comput., 219: 2808-2824.
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115. Argyros, I.K. and S. Hilout, 2012. On the semilocal convergence of Ulm's method. J. Nonlinear Anal. Optimization: Theory Applic., 3: 215-223.
116. Argyros, I.K. and S. Hilout, 2012. On the semilocal convergence of Newton-like methods using decreasing majorizing sequences. Pan Am. Math. J., 22: 69-79.
117. Argyros, I.K. and S. Hilout, 2012. On the convergence of inexact two-step Newton-like algorithms using recurrent functions. J. Applied Math. Comput., 38: 41-61.
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118. Argyros, I.K. and S. Hilout, 2012. On a generalization of Moret's theorem for inexact Newton-like methods. Pan Am. Math. J., 22: 67-73.
119. Argyros, I.K. and S. Hilout, 2012. On Newton's method using recurrent functions under hypotheses up to the second Frechet derivative. ANTA, 41: 99-113.
120. Argyros, I.K. and S. Hilout, 2012. New conditions for the convergence of Newton-like methods and applications. Applied Math. Comput., 219: 3279-3289.
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121. Argyros, I.K. and S. Hilout, 2012. Majorizing sequences for iterative procedures in Banach spaces. J. Complexity, 28: 562-581.
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122. Argyros, I.K. and S. Hilout, 2012. Majorizing sequences for iterative methods. J. Comput. Applied Math., 236: 1947-1960.
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123. Argyros, I.K. and S. Hilout, 2012. Local convergence results for Newton's method. J. Chungcheong Math. Soc., 25: 267-275.
124. Argyros, I.K. and S. Hilout, 2012. Improved local convergence of Newton's method under weak majorant condition. J. Comput. Applied Math., 236: 1892-1902.
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125. Argyros, I.K. and L.U. Uko, 2012. An improved convergence analysis of a one-step intermediate Newton iterative scheme for nonlinear equations. J. Applied Math. Comput., 38: 243-256.
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126. Argyros, I.K. and H. Ren, 2012. On the semilocal convergence of derivative free methods for solving equations. ANTA, 41: 3-17.
127. Argyros, I.K. and H. Ren, 2012. On the Halley method in banach spaces. Applic. Math., 39: 243-255.
128. Argyros, I.K. and H. Ren, 2012. Local convergence of a three-point method for solving least squares problems. Nonlin. Funct. Anal. Applic., 17: 131-141.
129. Argyros, I.K. and H. Ren, 2012. Improved ball convergence of Newton's method under general conditions. Applic. Math., 39: 365-375.
130. Argyros, I.K. and H. Ren, 2012. Ball convergence theorems for Halley's method in Banach space. J. Applied Math. Computing, 38: 453-465.
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131. Ren, H., I.K. Argyros and S. Hilout, 2011. A derivative free iterative method for solving least squares problems. Numer. Algorithms, 58: 555-571.
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132. Khattri, S.K. and I.K. Argyros, 2011. Sixth order derivative free family of iterative methods. Applied Math. Comput., 217: 5500-5507.
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133. Cho, Y.J., I.K. Argyros and S. Hilout, 2011. Extended sufficient semilocal convergence for the Secant method. Comput. Math. Applic., 62: 599-610.
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134. Argyros, I.K., Y.J. Cho and S. Hilout, 2011. On the semilocal convergence of the Halley method using recurrent functions. J. Applied Math. Comput., 37: 221-246.
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135. Argyros, I.K., Y.J. Cho and S. Hilout, 2011. On the local convergence analysis of inexact Gauss-Newton-like methods. PanAm. Math. J., 21: 11-18.
136. Argyros, I.K., S. Hilout and S.K. Khattri, 2011. On the convergence of Newton-like methods using outer inverses but not Lipschitz conditions. Nonlinear Funct. Anal. Applic., 16: 253-257.
137. Argyros, I.K., J.A. Ezquerro, J.M. Gutierrez, M.A. Hernandez and S. Hilout, 2011. On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Comput. Applied Math., 235: 3195-3206.
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138. Argyros, I.K., 2011. Newton-like methods with at least quadratic order of convergence for the computation of fixed points. J. Math., 43: 9-18.
     Direct Link  |  
139. Argyros, I.K., 2011. Newton's method and regularly smooth operators. Revue D'Analyse Numerique et De Theorie De L'Approximation, 40: 3-13.
140. Argyros, I.K., 2011. Extending the application of the shadowing lemma for operators with chaotic behaviour. East Asian Math. J., 27: 521-525.
     Direct Link  |  
141. Argyros, I.K., 2011. A semilocal convergence analysis for directional Newton methods. Math. Comput., 80: 327-343.
     Direct Link  |  
142. Argyros, I.K. and S. Hilout, 2011. Weak convergence conditions for inexact Newton-type methods. Applied Math. Comput., 218: 2800-2809.
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143. Argyros, I.K. and S. Hilout, 2011. Semilocal convergence of Newton's method for singular systems with constant rank derivatives. Pure Applied Math., 18: 97-111.
     Direct Link  |  
144. Argyros, I.K. and S. Hilout, 2011. Semilocal convergence conditions for the Secant method using recurrent functions. Revue D'Analyse Numerique et de Theorie de L'Approximation, 40: 107-119.
     Direct Link  |  
145. Argyros, I.K. and S. Hilout, 2011. On the solution of systems of equations with constant rank derivatives. Numer. Algorithms, 57: 235-253.
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146. Argyros, I.K. and S. Hilout, 2011. On the solution of generalized equations and variational inequalities. Cubo Math. J., 13: 45-60.
     Direct Link  |  
147. Argyros, I.K. and S. Hilout, 2011. On the semilocal convergence of Werner's method for solving equations using recurrent functions. J. Math., 43: 19-28.
     Direct Link  |  
148. Argyros, I.K. and S. Hilout, 2011. On the semilocal convergence of Steffensen's method. Mathematica, 53: 97-106.
     Direct Link  |  
149. Argyros, I.K. and S. Hilout, 2011. On the semilocal convergence of Newton-type methods, when the derivative is not continuously invertible. Cubo Math. J., 13: 1-15.
     Direct Link  |  
150. Argyros, I.K. and S. Hilout, 2011. On the radius of convergence of some newton-type methods in banach spaces. Pure Applied Math., 18: 219-230.
151. Argyros, I.K. and S. Hilout, 2011. On the convergence of newton's method under ω⋆-conditioned second derivative. Applic. Math., 38: 341-355.
152. Argyros, I.K. and S. Hilout, 2011. On the Gauss-Newton method. J. Applied Math. Comput., 35: 537-550.
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153. Argyros, I.K. and S. Hilout, 2011. Newton-Kantorovich approximations under weak continuity conditions. J. Applied Math. Comput., 37: 361-375.
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154. Argyros, I.K. and S. Hilout, 2011. Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Numer. Algorithms, 58: 23-52.
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155. Argyros, I.K. and S. Hilout, 2011. Extending the applicability of Secant methods and nondiscrete induction. Applied Math. Comput., 218: 3238-3246.
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156. Argyros, I.K. and S. Hilout, 2011. Convergence of directional methods under mild differentiability and applications. Applied Math. Comput., 217: 8731-8746.
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157. Argyros, I.K. and S. Hilout, 2011. Convergence domains under Zabrejko-Zincenko conditions using recurrent functions. Applic. Math., 38: 193-209.
158. Argyros, I.K. and S. Hilout, 2011. A unifying theorem for Newton's method on spaces with a convergence structure. J. Complexity, 27: 39-54.
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159. Argyros, I.K. and S. Hilout, 2011. A convergence analysis for directional Newton-like methods. Commun. Applied Nonlinear Anal., 18: 23-38.
160. Argyros, I.K. and S. Hilou, 2011. On the convergence of inexact two-step newton-type methods using recurrent functions. East Asian Math. J., 27: 319-337.
161. Argyros, I.K. and H. Ren, 2011. On the convergence of a Newton-like method under weak conditions. Commun. Korean Math. Soc., 26: 575-584.
162. Argyros, I.K. and H. Ren, 2011. Kantorovich-type semilocal convergence analysis for inexact Newton methods. J. Comput. Applied Math., 235: 2993-3005.
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163. Argyros, I.K. and H. Ren, 2011. Improved results for continuous modified Newton-type methods. Mathematica, 53: 3-14.
     Direct Link  |  
164. Argyros, I.K. and H. Ren, 2011. A relationship between the Lipschitz constants appearing in Taylor's formula. Pure Applied Math., 18: 345-351.
165. Argyros, I.K. and H. Ren, 2011. A note on the iteratively regularized Gauss-Newton method under center-Lipschitz conditions. Commun. Applied Nonlinear Anal., 18: 89-96.
166. Argyros, I., Y.J. Cho and S. Hilout, 2011. Newton-Steffensen methods for solving generalized equations. PanAm. Math. J., 21: 45-57.
167. Tabatabai, M.A. and I.K. Argyros, 2010. Tabaistic regression and its application to the space shuttle Challenger O-ring data. J. Applied Math. Comput., 33: 513-523.
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168. Ren, H. and I.K. Argyros, 2010. On the local convergence of inexact Newton-type methods under residual control-type conditions. J. Comput. Applied Math., 235: 218-228.
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169. Ren, H. and I.K. Argyros, 2010. Local convergence of a secant type method for solving least squares problems. Applied Math. Comput., 217: 3816-3824.
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170. Ren, H. and I.K. Argyros, 2010. Convergence radius of the modified Newton method for multiple zeros under Holder continuous derivative. Applied Math. Comput., 217: 612-621.
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171. Ren, H. and I.K. Argyros, 2010. A new semilocal convergence theorem for a fast iterative method with nondifferentiable operators. J. Applied Math. Comput., 34: 39-46.
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172. Khattri, S.K. and I.K. Argyros, 2010. How to develop fourth and seventh order iterative methods? Novi Sad J. Math., 40: 61-67.
     Direct Link  |  
173. Cho, Y.J., I.K. Argyros and N. Petrot, 2010. Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Comput. Math. Applic., 60: 2292-2301.
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174. Chen, J., I.K. Argyros, R.P. Agarwal, 2010. Majorizing functions and two-point Newton-type methods. J. Comput. Applied Math., 234: 1473-1484.
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175. Chen, J. and I.K. Argyros, 2010. Improved results on estimating and extending the radius of an attraction ball. Applied Math. Lett., 23: 404-408.
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176. Argyros, I.K., Y.J. Cho and S. Hilout, 2010. On the midpoint method for solving equations. Applied Math. Comput., 216: 2321-2332.
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177. Argyros, I.K., Y.J. Cho and S. Hilout, 2010. On the convergence of Broyden-like methods using recurrent functions. Numer. Funct. Anal. Optimization, 32: 26-40.
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178. Argyros, I.K., 2010. On the convergence region of Newton's method under Holder continuity conditions Int. J. Comput. Math., 87: 317-326.
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179. Argyros, I.K., 2010. On the convergence of Stirling's-type methods using recurrent functions. Pan-Am. Math. J., 20: 93-105.
180. Argyros, I.K., 2010. On a class of secant-like methods for solving nonlinear equations. Numer. Algorithms, 54: 485-501.
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181. Argyros, I.K., 2010. Newton's method and interior point techniques. Pan-Am. Math. J., 20: 93-100.
182. Argyros, I.K., 2010. Local convergence of Newton's method using Kantorovich convex majorants. Revue d'Analyse Numerique Theorie L'approximation, 39: 97-106.
     Direct Link  |  
183. Argyros, I.K., 2010. Inexact Newton methods and an improved conjugate gradient solver for the normal equations. Nonlinear Funct. Anal. Applic., 2: 155-166.
184. Argyros, I.K., 2010. Improved estimates on majorizing sequences for the Newton-Kantorovich method. J. Applied Math. Comput., 32: 1-18.
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185. Argyros, I.K., 2010. An improved convergence and complexity analysis for the interpolatory Newton method. CUBO: Math. J., 12: 149-159.
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186. Argyros, I.K., 2010. An improved convergence analysis for the Newton-Kantorovich method using recurrence relations. Int. J. Comput. Math., 87: 642-652.
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187. Argyros, I.K. and S. Hilout, 2010. On the semilocal convergence of the Gauss-Newton method using recurrent functions. J. Korean Soc. Math. Educ. Ser. B: Pure Applied Math., 17: 307-319.
     Direct Link  |  
188. Argyros, I.K. and S. Hilout, 2010. On the semilocal convergence of an inverse free Broyden's method. Pan-Am. Math. J., 20: 77-92.
189. Argyros, I.K. and S. Hilout, 2010. On the semilocal convergence of a Newton-type method of order three. J. Korean Soc. Math. Educ. Ser. B: Pure Applied Math., 17: 1-27.
     Direct Link  |  
190. Argyros, I.K. and S. Hilout, 2010. On the convergence of Newton-type methods using recurrent functions. Int. J. Comput. Math., 87: 3273-3296.
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191. Argyros, I.K. and S. Hilout, 2010. On Newton-like methods of bounded deterioration using recurrent functions. Aequationes Mathematicae, 79: 61-82.
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192. Argyros, I.K. and S. Hilout, 2010. On Newton's method defined on not necessarily bounded domains. J. Pure Applied Math.: Adv. Applic., 3: 1-16.
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193. Argyros, I.K. and S. Hilout, 2010. Newton-like method for nonsmooth subanalytic variational inclusions. Mathematica, 52: 5-13.
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194. Argyros, I.K. and S. Hilout, 2010. Locating roots for a certain class of polynomials. East Asian Math. J., 26: 351-363.
     Direct Link  |  
195. Argyros, I.K. and S. Hilout, 2010. Local results for a continuous analog of Newton's method. East Asian Math. J., 26: 365-370.
     Direct Link  |  
196. Argyros, I.K. and S. Hilout, 2010. Inexact Nweton methods and recurrent functions. Applicationes Mathematicae, 37: 113-126.
     Direct Link  |  
197. Argyros, I.K. and S. Hilout, 2010. Inexact Newton-type methods. J. Complexity, 26: 577-590.
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198. Argyros, I.K. and S. Hilout, 2010. Improved generalized differentiability conditions for Newton-like methods. J. Complexity, 26: 316-333.
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199. Argyros, I.K. and S. Hilout, 2010. Extending the Newton-Kantorovich hypothesis for solving equations. J. Comput. Applied Math., 234: 2993-3006.
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200. Argyros, I.K. and S. Hilout, 2010. Convergence conditions for the secant method. CUBO: Math. J., 12: 161-174.
     Direct Link  |  
201. Argyros, I.K. and S. Hilout, 2010. Convergence conditions for secant-type methods. Czechoslovak Math. J., 60: 253-272.
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202. Argyros, I.K. and S. Hilout, 2010. An improved local convergence analysis for Newton-Steffensen-type method. J. Applied Math. Comput., 32: 111-118.
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203. Argyros, I.K. and S. Hilout, 2010. A unified approach for the convergence of certain numerical algorithms, using recurrent functions. Computing, 90: 131-164.
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204. Argyros, I.K. and S. Hilout, 2010. A convergence analysis of Newton-like method for singular equations using recurrent functions. Numer. Funct. Anal. Optimiz., 31: 112-130.
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205. Argyros, I.K. and S. Hilout, 2010. A convergence analysis for directional two-step Newton methods. Numer. Algorithms, 55: 503-528.
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206. Argyros, I.K. and S. Hilout, 2010. A Newton-like method for nonsmooth variational inequalities. Nonlinear Anal.: Theory Methods Applic., 72: 3857-3864.
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207. Argyros, I.K. and S. Hilout, 2010. A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. Numer. Algorithms, 55: 447-466.
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208. Argyros, I.K. and S. Hilout, 2010. A Kantorovich-type analysis of Broyden's method using recurrent functions. J. Applied Math. Comput., 32: 353-368.
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209. Uko, L.U. and I.K. Argyros, 2009. Generalized equations, variational inequalities and a weak Kantorovich theorem. Numer. Algorithms, 52: 321-333.
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210. Uko, L.U. and I.K. Argyros, 2009. A generalized Kantorovich theorem on the solvability of nonlinear equations. Aequationes Mathematicae, 77: 99-105.
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211. Uko, L.U. and I.K. Argyros, 2009. A generalized Kantorovich theorem for nonlinear equations based on function splitting. Rendiconti Circolo Matematico Palermo, 58: 441-451.
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212. Ren, H. and I.K. Argyros, 2009. On convergence of the modified Newton's method under Holder continuous Frechet derivative. Applied Math. Comput., 213: 440-448.
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213. Argyrosm, I.K., 2009. On the local convergence of the midpoint method in Banach spaces under the gamma-condition. Proyecciones J. Math., 28: 155-167.
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214. Argyros, I.K., Y.J. Cho and X. Qin, 2009. On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces. J. Comput. Applied Math., 233: 208-216.
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215. Argyros, I.K., 2009. On the semilocal convergence of inexact Newton methods in Banach spaces. J. Computat. Applied Math., 228: 434-443.
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216. Argyros, I.K., 2009. On the convergence of Newton's method and locally Holderian inverses of operators. Pure Applied Math., 16: 13-18.
217. Argyros, I.K., 2009. On a class of Newton-like methods for solving nonlinear equations. J,. Comput. Applied Math., 228: 115-122.
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218. Argyros, I.K., 2009. On Ulm's method using divided differences of order one. Numer. Algorithms, 52: 295-320.
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219. Argyros, I.K., 2009. On Ulm's method for Frechet differentiable operators. J. Applied Math. Comput., 31: 97-111.
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220. Argyros, I.K., 2009. On Newton's method for solving equations containing Frechet-differentiable operators of order at least two. Applied Math. Comput., 215: 1553-1560.
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221. Argyros, I.K., 2009. Finding good starting points for solving equations by Newton's method. Revue d'Analyse Numerique Theorie L'approximation, 38: 3-10.
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222. Argyros, I.K., 2009. Concerning the convergence of Newton's method and quadratic majorants. J. Applied Math. Comput., 29: 391-400.
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223. Argyros, I.K., 2009. 26. On the Newton Kantorovich theorem and nonlinear finite element methods. Appl. Math., 36: 75-81.
224. Argyros, I.K., 2009. 17. Convergence of the Newton method for Aubin continuous maps. East Asian J. Math., 25: 153-157.
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225. Argyros, I.K., 2009. 16. An improved Newton-Kantorovich theorem and interior point methods. East Asian J. Math., 25: 147-151.
     Direct Link  |  
226. Argyros, I.K. and S. Hilout, 2009. Secant-like method for solving generalized equations. Methods Applic. Anal., 16: 469-478.
     Direct Link  |  
227. Argyros, I.K. and S. Hilout, 2009. On the weakening of the convergence of Newton's method using recurrent functions. J. Complexity, 25: 530-543.
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228. Argyros, I.K. and S. Hilout, 2009. On the convergence of two-step Newton-type methods of high efficiency index. Applicationes Mathematicae, 36: 465-499.
     Direct Link  |  
229. Argyros, I.K. and S. Hilout, 2009. On the convergence of some iterative procedures under regular smoothness. PanAm. Math. J., 19: 17-34.
230. Argyros, I.K. and S. Hilout, 2009. On the convergence of a jarratt-type method using recurrent functions. J. Pure Applied Math.: Adv. Applic., 2: 121-144.
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231. Argyros, I.K. and S. Hilout, 2009. On the convergence of Steffensen-type methods using recurrent functions. Revue d'Analyse Numerique Theorie L'approximation, 38: 130-143.
     Direct Link  |  
232. Argyros, I.K. and S. Hilout, 2009. On the convergence of Newton-type methods under mild differentiability conditions. Numer. Algorithms, 52: 701-726.
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233. Argyros, I.K. and S. Hilout, 2009. On multipoint iterative processes of efficiency index higher than Newton's method. J. Nonlinear Sci. Applic., 2: 195-203.
     Direct Link  |  
234. Argyros, I.K. and S. Hilout, 2009. Newton's method for approximating zeros of vector fields on Riemannian manifolds. J. Applied Math. Comput., 29: 417-427.
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235. Argyros, I.K. and S. Hilout, 2009. Enclosing roots of polynomial equations and their applications to iterative processes. Surveys Math. Applic., 4: 119-132.
     Direct Link  |  
236. Argyros, I.K. and S. Hilout, 2009. An improved local convergence analysis for a two-step Steffensen-type method. J. Applied Math. Comput., 30: 237-245.
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237. Argyros, I.K. and S. Hilout, 2009. An improved convergence analysis of Newton's method for systems of equations with constant rank derivatives. Mathematica, 51: 99-110.
     Direct Link  |  
238. Argyros, I.K. and J. Chen, 2009. On local convergence of a Newton-type method in Banach space. Int. J. Comput. Math., 86: 1366-1374.
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239. Argyros, I.K. and H. Ren, 2009. On the convergence of modified Newton methods for solving equations containing a non-differentiable term. J. Comput. Applied Math., 231: 897-906.
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240. Argyros, I.K. and H. Ren, 2009. On an improved local convergence analysis for the Secant method. Numer. Algorithms, 52: 257-271.
     CrossRef  |  Direct Link  |  
241. Argyros, I. and S. Hilout, 2009. On the local convergence of the Gauss-Newton method. J. Math., 41: 23-33.
     Direct Link  |  
242. Uko, L.U. and I.K. Argyros, 2008. A weak Kantorovich existence theorem for the solution of nonlinear equations. J. Math. Anal. Applic., 342: 909-914.
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243. Argyros, I.K., 2008. On the solution of nonlinear equations containing a non-differentiable term. East Asian Math. J., 24: 295-304.
     Direct Link  |  
244. Argyros, I.K., 2008. On the semilocal convergence of a fast two-step Newton method. Revista Colombiana Matematicas, 42: 15-24.
     Direct Link  |  
245. Argyros, I.K., 2008. On the semi-local convergence of a Newton-type method in banach spaces under a gamma-type condition. J. Concrete Applicable Math., 6: 33-44.
246. Argyros, I.K., 2008. On the radius of convergence of Newton's method under average mild differentiability conditions. J. Applied Math. Comput., 29: 429-435.
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247. Argyros, I.K., 2008. On the convergence of Newton's method and locally holderian inverses of operators. Pure Applied Math., 15: 111-120.
     Direct Link  |  
248. Argyros, I.K., 2008. On the comparison of a Kantorovich-type and Moore theorems. J. Applied Math. Comput., 29: 117-123.
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249. Argyros, I.K., 2008. On a two-step Newton method for solving equations under improved Ptak-type estimates. Commun. Applied Nonlinear Anal., 15: 85-93.
250. Argyros, I.K., 2008. Newton's method in Riemannian manifolds. Revue Anal.Numer. Theor. Approx., 37: 119-125.
     Direct Link  |  
251. Argyros, I.K., 2008. Local convergence for multistep simplified Newton-like methods. J. Math., 40: 1-7.
     Direct Link  |  
252. Argyros, I.K., 2008. Improved convergence results for generalized equations. East Asian Math. J., 24: 161-168.
     Direct Link  |  
253. Argyros, I.K., 2008. Concerning the semilocal convergence of Newton's method and convex majorants. Rendiconti Circolo Matematico Palermo, 57: 331-341.
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254. Argyros, I.K., 2008. Concerning the radii of convergence for a certain class of Newton-like methods. Pure Applied Math., 15: 47-55.
     Direct Link  |  
255. Argyros, I.K., 2008. Concerning the convergence of Newton method under vertgeim-type conditions. Nonlinear Funct. Anal. Applic., 13: 43-59.
256. Argyros, I.K., 2008. Approximating solutions of equations by combining Newton like methods. J. Korea Math. Soc. Edu. Ser. B: Pure Applied Math., 15: 35-45.
257. Argyros, I.K., 2008. An inverse-free Newton-Jarratt-type iterative method for solving equations under the gamma condition. J. Applied Math. Comput., 28: 15-28.
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258. Argyros, I.K., 2008. A semilocal convergence analysis for a certain class of modified Newton processes. East Asian J. Math., 24: 151-160.
     Direct Link  |  
259. Argyros, I.K., 2008. A refined semilocal convergence analysis of an algorithm for solving the Ricatti equation. J. Applied Math. Compu., 27: 339-344.
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260. Argyros, I.K., 2008. A new semilocal convergence theorem for Newton's method under a gamma-type condition. Atti Semin. Mat. Fis. Univ. Modena Reggio Emilia, 56: 31-40.
261. Argyros, I.K., 2008. A kantorovich analysis of Newton methods on lie groups. J. Concrete Applicable Math., 6: 21-32.
262. Argyros, I.K. and S. Hilout, 2008. Steffensen methods for solving generalized equations. Serdica Math. J., 34: 455-466.
     Direct Link  |  
263. Argyros, I.K. and S. Hilout, 2008. On the local convergence of a two-step Steffensen-type method for solving generalized equations. Proyecciones, 27: 319-330.
     Direct Link  |  
264. Argyros, I.K. and S. Hilout, 2008. On the local convergence of a Newton-type method in Banach spaces under a gamma-type condition. Proyecciones, 27: 1-14.
     Direct Link  |  
265. Argyros, I.K. and S. Hilout, 2008. On a secant-like method for solving generalized equations. Mathematica Bohemica, 133: 313-320.
     Direct Link  |  
266. Argyros, I.K. and S. Hilout, 2008. Multipoint method for generalized equations under mild differentiability conditions. Funct. Approx. Comment. Math., 38: 7-19.
     Direct Link  |  
267. Argyros, I.K. and S. Hilout, 2008. A cubically convergent method without second order derivative for solving generalized equations. Int. J. Mod. Math., 3: 187-196.
268. Argyros, I.K. and S. Hilout, 2008. A Frechet derivative-free cubically convergent method for set-valued maps. Numer. Algorithms, 48: 361-371.
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269. Argyros, I.K. and S. Hilout, 2008. 2. On the midpoint method for solving generalized equations. Punj. Univ. J. Mathematics., 40: 63-70.
     Direct Link  |  
270. Argyros, I.K. and L.U. Uko, 2008. On the convergence of the midpoint method. Numer. Algorithms, 47: 157-167.
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271. Argyros, I.K. and H. Ren, 2008. On a quadratically convergent method using divided differences of order one under the gamma condition. Central Eur. J. Math., 6: 262-271.
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272. Oannis, I., K. Argyros and J.M. Gutierrez, 2007. A unifying local and semilocal convergence analysis of Newton-like methods. Adv. Nonlinear Var. Ineq., 10: 1-12.
273. Argyros, I.K., 2007. On the solution of variational inequalities on finite dimensional spaces. Adv. Nonlinear Variational Inequalities, 10: 69-77.
274. Argyros, I.K., 2007. On the local convergence of Newton's method on lie groups. Panamerican Math. J., 17: 101-109.
275. Argyros, I.K., 2007. On the gap between the semilocal convergence domains of two newton methods. Applic. Math., 34: 193-204.
     Direct Link  |  
276. Argyros, I.K., 2007. On the convergence of the structured PSB update in Hilbert space. Int. J. Pure Applic. Math., 34: 519-524.
     Direct Link  |  
277. Argyros, I.K., 2007. On the convergence of the newton-kantorovich method: The generalized Holder case. Nonlinear Stud., 14: 355-364.
     Direct Link  |  
278. Argyros, I.K., 2007. On the convergence of the Secant method under the gamma condition. Central Eur. J. Math., 5: 205-214.
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279. Argyros, I.K., 2007. On the convergence of broyden-like methods. Acta Mathematica Sinica, 23: 2087-2096.
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280. Argyros, I.K., 2007. On the convergence of Newton's method for a class of nonsmooth operators. J. Comput. Appl. Math., 205: 584-593.
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281. Argyros, I.K., 2007. On a quadratically convergent iterative method using divided differences of order one. Pure Applied Math., 14: 203-221.
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282. Argyros, I.K., 2007. On a non-smooth version of Newton's method based on Holderian assumptions. Int. J. Comput. Math., 84: 1747-1756.
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283. Argyros, I.K., 2007. Local convergence of Newton's method for generalized equations under Lipschitz conditions on the Frechet derivative. Adv. Nonlinear Var. Ineq., 10: 101-111.
284. Argyros, I.K., 2007. Improved convergence and complexity analysis of Newton's method for solving equations. Int. J. Comput. Math., 84: 67-73.
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285. Argyros, I.K., 2007. Approximating solutions of equations using Newton's method with a modified Newton's iterate as a starting point. Revue d'Analyse Numerique Eorie L'approximation, 36: 123-138.
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286. Argyros, I.K., 2007. An improved unifying convergence analysis of Newton's method on Riemannian manifolds. J. Applied Math. Comput., 25: 345-351.
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287. Argyros, I.K., 2007. An improved error analysis for the secant method under the gamma condition. J. Math., 39: 1-11.
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288. Argyros, I.K., 2007. A refined theorem concerning the conditioning of semidefinite programs. J. Applied Math. Comput., 24: 305-312.
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289. Argyros, I.K., 2007. A note on the solution of a nonlinear singular integral equation with a shift in generalized holder space. Pure Applied Math., 14: 279-282.
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290. Argyros, I.K., 2007. A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations. J. Math. Anal. Applic, 332: 97-108.
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291. Argyros, I.K. and S. Hilout, 2007. Newton's methods for variational inclusions under conditioned frechet derivative. Applic. Math., 34: 349-357.
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292. Argyros, I.K. and S. Hilout, 2007. An improved local convergence analysis for secant-like method. East Asian Math. J., 23: 261-270.
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293. Argyros, I.K., 2006. Relaxing the convergence conditions for Newton-like methods. J. Applied Math. Comput., 21: 119-126.
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294. Argyros, I.K., 2006. On the solution of Variational Inequalities under weak Lipschitz conditions. Adv. Nonlinear Var. Ineq., 9: 85-94.
295. Argyros, I.K., 2006. On the secant method for solving nonsmooth equations. J. Math. Anal. Applic., 322: 146-157.
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296. Argyros, I.K., 2006. On the convergence of fixed slope iterations. Punj. Univ. J. Math., 38: 39-44.
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297. Argyros, I.K., 2006. On an improved unified convergence analysis for a certain class of Euler-Halley type methods. Pure Applied Math., 13: 207-215.
298. Argyros, I.K., 2006. Local convergence of Newton's method under a weak gamma condition. Punjab Univ. J. Math., 38: 1-7.
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299. Argyros, I.K., 2006. Local convergence of Newton's method for perturbed generalized equations. Pure Applied Math., 13: 261-267.
300. Argyros, I.K., 2006. Local convergence for the curve tracing of the homotopy method. Revista Colombiana Matematicas, 40: 105-110.
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301. Argyros, I.K., 2006. Convergence of Newton's method under the gamma condition. Proyecciones, 25: 293-306.
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302. Argyros, I.K., 2006. An improved convergence analysis of a superquadratic method for solving generalized equations. Revista Colombiana Matematicas, 40: 65-73.
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303. Argyros, I.K., 2006. A weaker version of the shadowing lemma for operators with chaotic behaviour. Int. J. Pure Applied Math., 28: 417-422.
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304. Argyros, I.K., 2006. A weaker affine covariant Newton-Mysovskikh theorem for solving equations. Applied Math., 33: 355-363.
305. Argyros, I.K., 2006. A semilocal convergence analysis for Newton LP methods. Adv. Nonlinear Var. Ineq., 9: 75-84.
306. Argyros, I.K., 2006. A refined Newton's mesh independence principle for a class of optimal shape design problems. Open Math., 4: 562-572.
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307. Argyros, I.K., 2006. A fine convergence analysis for inexact Newton methods. Functiones Approximatio Commentari Mathematici, 36: 7-31.
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308. Argyros, I.K., 2006. A convergence analysis of a Newton-like method without inverses. Int. J. Pure Applied Math., 30: 143-149.
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309. Argyros, I.K., 2006. A convergence analysis and applications for two-point Newton-like methods in Banach space under relaxed conditions. Aequat. Math., 70: 124-148.
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310. Argyros, I.K., 2005. Toward a unified convergence theory for Newton-like methods of bounded deteriation. Adv. Nonlinear Var. Ineq., 8: 109-120.
311. Argyros, I.K., 2005. On the semilocal convergence of the secant method under relaxed conditions. Adv. Nonlinear Var. Ineq., 8: 119-132.
312. Argyros, I.K., 2005. On the semilocal convergence of Newton's method under weak Lipschitz continuous derivative. Adv. Nonlinear Var. Ineq., 8: 71-82.
313. Argyros, I.K., 2005. On the convergence of Newton's method under twice-Frechet differentiability only at a point. Comm. Applied Nonlinear Anal., 12: 51-58.
314. Argyros, I.K., 2005. On some theorems concerning the convergence of Newton methods. Adv. Nonlinear Var. Ineq., 8: 83-94.
315. Argyros, I.K., 2005. On a two-point Newton-like method of convergence order two. Int. J. Comput. Math., 88: 219-234.
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316. Argyros, I.K., 2005. New sufficient convergence conditions for the secant method. Chechoslovak Math. J., 55: 175-187.
317. Argyros, I.K., 2005. Enlarging the radius of convergence for iterative methods by using a one parameter operator imbedding. Adv. Nonlinear Var. Ineq., 8: 75-80.
318. Argyros, I.K., 2005. Enlarging the convergence domain of Newton's method under regular smoothness conditions. Adv. Nonlinear Var. Ineq., 8: 121-129.
319. Argyros, I.K., 2005. Ball convergence theorems for Newton's method involving outer or generalized inverses. Adv. Nonlinear Var. Ineq., 8: 61-68.
320. Argyros, I.K., 2005. An improved approach of obtaining good starting points for solving equations by Newton's method. Adv. Nonlinear Var. Ineq., 8: 111-118.
321. Argyros, I.K., 2005. An application of a weak variant of the Newton-Kantorovich theorem to nonlinear finite element analysis. Math. Sci. Res. J., 9: 330-337.
322. Argyros, I.K., 2005. A unified approach for enlarging the radius of convergence for Newton's method and applications. Nonlinear Funct. Anal. Applic., 10: 555-563.
323. Argyros, I.K., 2005. A semilocal convergence analysis of Newton's method involving operators with values in a cone. Adv. Nonlinear Var. Ineq., 8: 53-59.
324. Argyros, I.K., 2005. A semilocal convergence analysis for the method of tangent parabolas. Rev. Anal. Numer. Theor. Approx., 34: 3-15.
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325. Argyros, I.K., 2005. A semilocal convergence analysis for a deformed Newton method. Math. Sci. Res. J., 9: 217-222.
326. Argyros, I.K., 2005. A new iterative method of asymptotic order 1+√2 for the computation of fixed points. Int. J. Comput. Math., 82: 1413-1428.
327. Argyros, I.K., 2005. A new approach for finding weaker conditions for the convergence of Newton's method. Applic. Math., 32: 465-475.
328. Argyros, I.K., 2005. A convergence analysis for Newton-like methods for singular equations using outer or generalized inverses. Applc. Math., 32: 37-49.
329. Zhengda, H. and I.K. Argyros, 2004. On two improved Durand-Kerner methods without derivatives. Comm. Appl. Nonlinear Anal., 11: 43-48.
330. Argyros, I.K., 2004. Weak sufficient convergence conditions and applications for newton methods. J. Applied Math. Comput., 16: 1-17.
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331. Argyros, I.K., 2004. Some convergence theorems for Newton's method involving center-Lipschitz conditions. Panamer. Math. J., 14: 75-84.
332. Argyros, I.K., 2004. On the convergence of iterates to fixed points of analytic operators. Revue. Anal. Numer. Theor. Approx., 33: 11-17.
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333. Argyros, I.K., 2004. On the convergence of a certain class of Steffensen iterative methods for solving equations. Math. Sci. Res. J., 8: 55-66.
334. Argyros, I.K., 2004. On the comparison of a weak variant of the Newton-Kantorovich and Miranda theorems. J. Comput. Appl. Math., 166: 585-589.
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335. Argyros, I.K., 2004. On the Newton-Kantorovich hypothesis for solving equations. J. Comput. Applied Math., 169: 315-332.
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336. Argyros, I.K., 2004. On a weak Newton-Kantorovich-type theorem for solving nonlinear equations in Banach space. Adv. Nonlinear Var. Ineq., 7: 101-109.
337. Argyros, I.K., 2004. On a Newton-Kantorovich-type theorem for solving equations in a Banach space and applications. Adv. Nonlinear Var. Ineq., 7: 79-88.
338. Argyros, I.K., 2004. Local-semilocal convergence theorems for Newton's method in Banach space and applications. Adv. Nonlinear Var. Ineq., 7: 121-132.
339. Argyros, I.K., 2004. Improved convergence analysis for the Secant method based on a certain type of recurrence relations. Int. J. Comput. Math., 81: 629-637.
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340. Argyros, I.K., 2004. Approximating solutions of equations using two-point newton methods. Appl. Num. Anal. Comput. Math., 1: 386-412.
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341. Argyros, I.K., 2004. An iterative method for computing zeros of operators satisfying autonomous differential equations. Southwest J. Pure Appl. Math., 1: 48-53.
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342. Argyros, I.K., 2004. A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space. J. Math. Anal. Applc., 298: 374-397.
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343. Argyros, I.K., 2004. A convergence analysis for a certain class of quasi-Newton generalized Steffensen iterative methods. Adv. Nonlinear Var. Ineq., 7: 133-142.
344. Argyros, I.K., 2004. A convergence analysis and applications of Newton-like methods under generalized Chen-Yamamoto-type assumptions. Int. J. Appl. Math. Sci., 1: 13-26.
345. Argyros, I.K., 2004. A convergence analysis and applications for the Newton-Kantorovich method in K-normed spaces. Rendiconti del Circolo Mathematica di Palermo, 53: 251-271.
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346. Argyros, I.K., 2004. A note on a new way of enlarging the convergence radius for Newton's method. Math. Sci. Res. J., 8: 147-153.
347. Argyros, I.K., 2003. Semilocal convergence for Newton's method on a Banach space with a convergence structure and twice Frechet differentiable operators. Southwest J. Pure Applied Mathe., 1: 88-95.
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348. Argyros, I.K., 2003. On the convergence and application of Stirling's method. Appl. Math., 30: 109-119.
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349. Argyros, I.K., 2003. On the convergence and application of Newton's method under weak Holder continuity assumptions Int. J. Comput. Math., 80: 767-780.
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350. Argyros, I.K., 2003. On an improved variant of the L.V. Kantorovich theorem for Newton's method. Mat. Sci. Res. J., 7: 400-405.
351. Argyros, I.K., 2003. On an application of a fixed point theorem to the convergence of inexact Newton-like methods. Comm. Appl. Nonlinear Anal., 10: 101-108.
352. Argyros, I.K., 2003. On a theorem of L.V. Kantorovich concerning Newton's method. J. Comput. Appl. Math., 155: 223-230.
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353. Argyros, I.K., 2003. On a multistep Newton method in Banach spaces and the Ptak error estimates. Adv. Nonlinear Var. Ineq., 6: 121-135.
354. Argyros, I.K., 2003. New and generalized convergence conditions for the Newton-Kantorovich method. J. Appl. Anal., 9: 287-299.
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355. Argyros, I.K., 2003. Concerning the convergence of Newton's method and logarithmic convexity. Panamerican Math. J., 13: 35-42.
356. Argyros, I.K., 2003. An improved error analysis for Newton-like methods under generalized conditions. J. Comput. Applied Mathe., 157: 169-185.
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357. Argyros, I.K., 2003. An improved convergence analysis and applications for newton-like methods in banach space. Numer. Funct. Anal. Optimiz., 24: 653-672.
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358. Argyros, I.K., 2003. A convergence analysis of an iterative algorithm of order 1.839... under weak assumptions. Rev. Anal. Numer. Theor. Approx., 32: 123-134.
359. Argyros, I.K., 2003. A local convergence analysis and applications of Newton's method under weak assumptions. Southwest J. Pure Applied Mathe., 1: 82-87.
360. Argyros, I.K., 2002. On the convergence of a Newton-like method based on m-Frechet differentiable operators and applications in radiative transfer. J. Comput. Anal. Appli., 4: 141-154.
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361. Argyros, I.K., 2001. Semilocal convergence theorems for Newton's method using outer inverses and hypotheses on the second Frechet-derivative. Monatshefte fur Mathematik, 132: 183-195.
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362. Argyros, I.K., 2001. On the radius of convergence of Newton's method. Int. J. Comput. Math., 77: 389-400.
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363. Argyros, I.K., 2001. Local convergence theorems for Newton methods. Korean J. Comp. Appl. Math., 8: 253-268.
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364. Argyros, I.K., 2001. Local and semilocal convergence theorems for Newton's method based on continuously Frechet-differentiable operators. Southwest J. Pure Appl. Math., 2001: 22-28.
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365. Argyros, I.K., 2001. An error analysis for a certain class of iterative methods. Korean J. Comput. Appl. Math., 8: 519-529.
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366. Argyros, I.K., 2001. A new semilocal convergence theorem for Newton's method in Banach space using hypotheses on the second Frechet-derivative. J. Comput. Appl. Math., 130: 369-373.
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367. Argyros, I.K., 2001. A mesh independence principle for inexact Newton-type methods and their discretizations. Ann. Univ. Sci. Budapest, Sect. Comp., 20: 31-53.
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368. Argyros, I.K., 2001. A Newton-Kantorovich theorem for equations involving m-Frechet differentiable operators and applications in radiative transfer. J. Comput. Appli. Math., 131: 149-159.
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369. Argyros, I.K., 2000. The effect of rounding errors on Newton methods. Korean J. Comp. Appl. Math., 7: 533-540.
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370. Argyros, I.K., 2000. The Chebyshev method in Banach spaces and the Ptak error estimates. Adv. Nonlinear Var. Ineq., 3: 15-25.
371. Argyros, I.K., 2000. Steffensen's method on special Banach spaces. Comm. Appl. Nonlinear Anal., 7: 49-58.
372. Argyros, I.K., 2000. Semilocal convergence theorems for a certain class of iterative procedures using outer or generalized inverses. Korean J. Comp. Appl. Math., 71: 29-40.
373. Argyros, I.K., 2000. Perturbed Steffensen-Aitken projection methods for solving equations with nondifferentiable operators. Punj. Univ. J. Math., 33: 105-113.
374. Argyros, I.K., 2000. On the monotone convergence of a Chebysheff-Halley-type method in partially ordered topological spaces Ann. Univ. Sci. Budapest. Sect. Comp., 19: 143-154.
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375. Argyros, I.K., 2000. On the local convergence of m-step Newton methods with applications on a vector supercomputer Adv. Nonlinear Var. Ineq., 3: 27-33.
376. Argyros, I.K., 2000. On the convergence of disturbed Newton-like methods in Banach space PanAmer. Math. J., 10: 31-39.
377. Argyros, I.K., 2000. On the convergence of an Euler-Chebysheff-type method using divided differences of order one Comm. Appl. Nonlinear Anal., 7: 71-86.
378. Argyros, I.K., 2000. On the convergence of Steffensen-Galerkin methods Atti del seminario Matematica e Fisico dell'universita di Modena 11: 355-370.
379. Argyros, I.K., 2000. On some general iterative methods for solving nonlinear operator equations containing a nondifferentiable term. Adv. Nonlinear Var. Inequal., 3: 15-21.
380. Argyros, I.K., 2000. Newton methods on Banach spaces with a convergence structure and applications. Comput. Math. Appli., 40: 37-48.
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381. Argyros, I.K., 2000. Local convergence theorems of Newton's method for nonlinear equations using outer or generalized inverses. Chechoslovak Math. J., 50: 603-614.
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382. Argyros, I.K., 2000. Local convergence of inexact Newton-like iterative methods and applications Comput. Math. Appl., 39: 69-75.
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383. Argyros, I.K., 2000. Improving the rate of convergence of Newton-like methods in Banach space using twice Frechet-differentiable operators and applications. PanAmer. Math. J., 10: 51-59.
384. Argyros, I.K., 2000. Improving the order of convergence of Newton's method for a certain class of polynomial equations. SooChow J. Math., 26: 117-122.
385. Argyros, I.K., 2000. Improved error bounds for Newton's method under hypotheses on the second Frechet-derivative. Adv. Nonlinear Var. Ineq., 3: 37-45.
386. Argyros, I.K., 2000. Forcing sequences and inexact Newton iterates in Banach space. Appl. Math. Lett., 13: 77-80.
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387. Argyros, I.K., 2000. Extending the region of convergence for a certain class of modified iterative methods on Banach space and applications. Adv. Nonlinear Var. Ineq., 3: 1-5.
388. Argyros, I.K., 2000. Error bounds for the Halley-Werner method in Banach spaces. Comm. Appl. Nonlinear Anal., 7: 73-85.
389. Argyros, I.K., 2000. Error bounds for the Halley method in Banach spaces. Adv. Nonlinear Var. Ineq., 3: 1-13.
390. Argyros, I.K., 2000. Convergence theorems for Newton-like methods under generalized Newton-Kantorovich conditions Adv. Nonlinear Var. Ineq., 3: 35-42.
391. Argyros, I.K., 2000. Conditions for the convergence of perturbed Steffensen methods on a Banach space with a convergence structure. Adv. Nonlinear Var. Inequal., 3: 23-35.
392. Argyros, I.K., 2000. Concerning the monotone convergence of the method of tangent hyperbolas. Korean J. Comp. Appl. Math., 7: 407-418.
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393. Argyros, I.K., 2000. Choosing the forcing sequences for inexact Newton methods in Banach space. Comput. Appl. Math., 19: 79-89.
     Direct Link  |  
394. Argyros, I.K., 2000. Approximate solutions of equations by a Stirling method Bull. Inst. Math. Acad. Sinica, 28: 249-256.
     Direct Link  |  
395. Argyros, I.K., 2000. A unifying semilocal convergence theorem for Newton-like methods in Banach space. PanAmer. Math. J., 10: 95-101.
396. Argyros, I.K., 2000. A new convergence theorem for the Steffensen method in Banach space and applications. Rev. Anal. Numer. Theor. Approx, 29: 119-127.
397. Argyros, I.K., 2000. A mesh independence principle for perturbed Newton-like methods and their discretizations. Korean J. Comp. Appl. Math., 7: 139-159.
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398. Argyros, I.K., 2000. A convergence theorem for Steffensen's method and the Ptak error estimates Adv. Nonlinear Var. Ineq., 3: 43-51.
399. Argyros, I.K., 2000. A convergence theorem for Newton-like methods in Banach space under general weak assumptions and applications Comm. Appl. Anal., 7: 57-72.
400. Argyros, I., 2000. The effect of rounding errors on a certain class of iterative methods Appli. Math., 27: 369-375.
     Direct Link  |  
401. Argyros, I., 2000. Semilocal convergence theorems for a certain class of iterative procedures involving m-Frechet differentiable operators. Math. Sci. Res. Hot-Line, 4: 1-12.
402. Argyros, I., 2000. Semilocal convergence theorems for Newton's method using outer inverses and hypotheses on the mth Frechet-derivative. Math. Sci. Res. Hot-Line, 4: 33-45.
403. Argyros, I., 2000. Relaxing convergence conditions of Newton-like methods for solving equations under weakened assumptions. Math. Sci. Res. Hot-Line, 4: 55-64.
404. Argyros, I., 2000. On a class of nonlinear implicit quasivariational inequalities. Pan. Am. Math. J., 10: 101-109.
405. Argyros, I., 2000. Local convergence theorems for Newton's method using outer or generalized inverses and m-Frechet differentiable operators. Math. Sci. Res. Hot-Line, 4: 47-56.
406. Argyros, I., 2000. Local convergence of a certain class of iterative methods and applications. Math. Sci. Res. Hot-Line, 4: 9-16.
407. Argyros, I., 2000. Forcing sequences and inexact iterates involving m-Frechet differentiable operators Math. Sci. Res. Hot-Line, 4: 35-46.
408. Argyros, I., 2000. Enlarging the radius of convergence for Newton's method Math. Sci. Res. Hot-Line, 4: 29-40.
409. Argyros, I., 2000. Convergence theorems for Newton's method without Lipschitz conditions and hypotheses on the first Frechet-derivative. Math. Sci. Res. Hot-Line, 4: 41-50.
410. Argyros, I., 2000. Convergence results for Newton's method involving smooth operators. Math. Sci. Res. Hot-Line, 4: 35-43.
411. Argyros, I., 2000. Convergence domains of Newton-like methods for solving equations under weakened assumptions. Math. Sci. Res. Hot-Line, 4: 64-73.
412. Argyros, I., 2000. Choosing the forcing sequences for inexact Newton methods and m-Frechet differentiable operators. Math. Sci. Res. Hot-Line, 4: 1-8.
413. Argyros, I., 2000. Approximation-solvability of nonlinear variational inequalities and partially relaxed monotone mappings. Comm. Appl. Nonlinear Anal., 7: 1-10.
414. Argyros, I., 2000. A new semilocal convergence theorem for Newton's method using hypotheses on the m-Frechet derivative. Math. Sci. Res. Hot-Line, 4: 57-61.
415. Argros, I., 2000. Accessibility of solutions of equations on Banach spaces by Newton-like methods and applications. Bull. Inst. Math. Acad. Sinica, 28: 9-20.
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