Dr. Vakeel A. Khan
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Dr. Vakeel A. Khan

Associate Professor
Aligarh Muslim University, India

Highest Degree
Ph.D. in Mathematics from Aligarh Muslim University, India

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Biography

Dr. VAKEEL AHMAD KHAN is an Associate Professor in the Department of Mathematics, Aligarh Muslim University, Aligarh, India. Dr khan has successfully guided 13 Ph.D. and 4 MPhil students. He has authored two textbooks entitled Basics of Functional Analysis and Basics of Differential Equations published by Alpha Science International Ltd. Oxford, the U.K. and Narosa Publishing House Pvt. Ltd. He has published more than 150 research papers in reputed International Journals, including Information Sciences(Elsevier)SCIE(Impact factor: 5.524), Applied.

Mathematics Letters (Elsevier) SCIE (Impact factor:3.848), Soft Computing (Springer-Verlag) SCIE (Impact factor:3.643), Journal of Inequalities and Applications(Springer-Verlag)SCIE (Impact factor: 2.491), Advances in Difference Equations(Springer - Verlag) SCIE (Impact factor:2.421), Ricerche di Matematica (Springer-Verlag)SCIE (Impact factor:1.034), Applied Mathematics A Journal of Chinese Universities and Springer- Verlag(CHINA)SCIE (Impact factor: 0.806 ), Numerical Functional analysis and Optimization(Taylor’s and Francis)SCIE (Impact Factor :1.212), etc. Dr. Khan is also associated with Mathematical Reviews (USA) as a Reviewer.

Area of Interest:

Mathematics
100%
Mathematical Sciences
62%
Functional Analysis
90%
Summability Theory
75%
Sequence Spaces
55%

Research Publications in Numbers

Books
6
Chapters
3
Articles
154
Abstracts
14

Selected Publications

  1. Khan, V.A., M. Ahmad and X.M. Li, 2019. Basics of Functional Analysis. Narosa Publishing House Pvt. Ltd., New Delhi, India, ISBN: 978-81-8487-640-6, Pages: 168.
  2. Khan, V.A., A. Esi and A. Ahmad, 2019. Basics of Differential Equations. Narosa Publishing House Pvt. Ltd., New Delhi, India, ISBN: 978-81-8487-650-5, Pages: 260.
  3. Khan, V.A., R.K.A. Rababah, K.M.A.S. Alshlool, S.A. Abdullah and A. Ahmad, 2018. On ideal convergence Fibonacci difference sequence spaces. Adv. Diff. Equat., Vol. 2018. 10.1186/s13662-018-1639-2.
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  4. Khan, V.A., R.K.A. Rababah, H. Fatima, Yasmeen and M. Ahamad, 2018. Intuitionistic fuzzy I-convergent sequence spaces defined by bounded linear operator. ICIC Express Lett., 12: 955-962.
  5. Khan, V.A., M.I. Idrisi, S.A.A. Abdullah and M.F. Khan, 2018. On Zweier difference ideal convergence of double sequences in random 2-normed spaces. Transylvanian Rev., 26, No. 34. .
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  6. Khan, V.A., K.M. Alshlool, S.A. Abdullah, R.K. Rababah and A. Ahmad, 2018. Some new classes of paranorm ideal convergent double sequences of sigma-bounded variation over n-normed spaces. Cogent Math. Stat., Vol. 5, No. 1. 10.1080/25742558.2018.1460029.
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  7. Khan, V.A., A.A.H. Makharesh, K.M.A.S. Alshlool and S.A.A. Abdullah, 2018. On spaces of intuitionistic fuzzy Zweier Lacunary ideal convergence of sequences. Commun. Optimiz. Theory, Vol. 2018. 10.23952/cot.2018.10.
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  8. Khan, V.A., A.A. Makharesh, K.M. Alshlool, S.A. Abdullah and H. Fatima, 2018. On fuzzy valued lacunary ideal convergent sequence spaces defined by a compact operator. J. Intell. Fuzzy Syst., 35: 4849-4855.
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  9. Esi, A., N. Subramanian and V.A. Khan, 2018. The rough intuitionistic fuzzy Zweier Lacunary ideal convergence of triple sequence spaces. J. Math. Stat., 14: 72-78.
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  10. Khan, V.A., Y. Khan, H. Fatima and A. Ahmad, 2017. Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by Orlicz function. Eur. J. Pure Applied Math., 10: 574-584.
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  11. Khan, V.A., Y. Khan, H. Altaf, A. Esi and A. Ahamd, 2017. On paranorm intuitionistic fuzzy I-convergent sequence spaces defined by compact operator. Int. J. Adv. Applied Sci., 4: 138-143.
  12. Khan, V.A., R.K.A. Rababah, A. Esi, S.A.A. Abdullah and K.M.A.S. Alshlool, 2017. Some new spaces of ideal convergent double sequences by using compact operator. J. Applied Sci., 17: 467-474.
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  13. Khan, V.A., H. Fatima, S.A.A. Abdullah and K.M.A.S. Alshlool, 2017. On some new I-convergent double sequence spaces of invariant means defined by ideal and modulus function. Sigma J. Eng. Nat. Sci., 35: 695-706.
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  14. Khan, V.A., H. Fatima, S.A. Abdullah and K.M. Alshlool, 2017. On paranorm BVσ I-convergent double sequence spaces defined by an Orlicz function. Analysis, 37: 157-167.
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  15. Khan, V.A., H. Fatima, A. Esi, S.A. Abdullah and K.M.A.S. Alshlool, 2017. On some new I-convergent double sequence spaces defined by a compact operator. Int. J. Adv. Applied Sci., 4: 43-48.
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  16. Khan, V.A., A. Esi and H. Fatima, 2017. Intuitionistic fuzzy I-convergent double sequence spaces defined by compact operator and modulus function. J. Intell. Fuzzy Syst., 33: 3905-3911.
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  17. Khan, V.A., 2017. On paranorm type intuitionistic fuzzy Zweier I-convergent sequence spaces. Ann. Fuzzy Math. Inform., 13: 135-143.
  18. Khan, V.A., Yasmeen, H. Fatima, H. Altaf and Q.D. Lohani, 2016. Intuitionistic fuzzy I-convergent sequence spaces defined by compact operator. Cogent Math., Vol. 3. 10.1080/23311835.2016.1267904.
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  19. Khan, V.A., Yasmeen, H. Fatima and A. Ahamd, 2016. Intuitionistic fuzzy Zweier I-convergent double sequence spaces defined by modulus function. Cogent Math., Vol. 3, No. 1. 10.1080/23311835.2016.1235320.
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  20. Khan, V.A., N. Khan and Y. Khan, 2016. On Zweier paranorm I-convergent double sequence spaces. Cogent Math., Vol. 3. 10.1080/23311835.2015.1122257.
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  21. Khan, V.A., M. Shafiq, R.K.A. Rababah and A. Esi, 2016. On some I-convergent sequence spaces defined by a compact operator. Ann. Univ. Craiova-Math. Comput. Sci. Ser., 43: 141-150.
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  22. Khan, V.A., A. Esi, Yasmeen and H. Fatima, 2016. On some generalised I-convergent sequence spaces of double interval numbers. New Trends Math. Sci., 4: 125-137.
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  23. Khan, V.A., A. Esi, K. Ebadullah and N. Khan, 2016. Zweier I-Convergent Sequence Spaces and their Properties. Science Publishing Group, New York, USA., ISBN: 978-1-940366-42-5, Pages: 131.
  24. Khan, V.A., 2016. On some generalized I-convergent double sequence spaces of interval numbers. New Trends Math. Sci., 4: 125-137.
  25. Khan, V.A., 2016. On a new BVσ I -convergent double sequence spaces. Theory Applic. Math. Comput. Sci., 6: 187-197.
  26. Khan, V.A., 2016. Intuitionistic fuzzy zweier I-convergent double sequence spaces. New Trends Math. Sci., 4: 240-247.
  27. Khan, V.A., 2016. Intuitionistic fuzzy Zweier I-convergent sequence spaces defined by Orlicz function. Ann. Fuzzy Math. Inform., 12: 469-478.
  28. Khan, V.A. and Yasmeen, 2016. Intuitionistic fuzzy Zweier I-convergent double sequence spaces. New Trends Math. Sci., 4: 240-247.
  29. Khan, V.A. and N. Khan, 2016. On zweier I-convergent double sequence spaces. Filomat, 30: 3361-3369.
  30. Vakeel, A.K. and K. Nazneen, 2015. Zweier I-convergent double sequence spaces defined by a sequence of modulii. Theory Applic. Math. Comput. Sci., 5: 194-202.
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  31. Khan, V.A., S. Tabassum and N. Khan, 2015. Some new I-convergent double sequences space of invariant means. Afrika Matematika, 26: 1697-1708.
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  32. Khan, V.A., N. Khan and A. Esi, 2015. On some generalized i-convergent double sequence spaces defined by a sequence of moduli. ROMAI J., 11: 105-113.
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  33. Khan, V.A., M. Shafiq and R.K.A. Rababah, 2015. On some I-convergent sequence spaces defined by a compact operator and an Orlicz function. J. Adv. Stud. Topol., 6: 28-37.
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  34. Khan, V.A., M. Shafiq and R.K.A. Rababah, 2015. On I-convergent sequence spaces defined by a compact operator and a modulus function. Cogent Math., Vol. 2. 10.1080/23311835.2015.1036509.
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  35. Khan, V.A., M. Shafiq and R.K.A. Rababah, 2015. On BVσ I-convergent sequence spaces defined by an Orlicz function. Theory Applic. Math. Comput. Sci., 5: 62-70.
  36. Khan, V.A., M. Shafiq and B. Lafuerza-Guillen, 2015. On paranorm I-convergent sequence spaces defined by a compact operator. Afrika Matematika, 26: 1387-1398.
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  37. Khan, V.A., K. Ebadullah, A. Esi and M. Shafiq, 2015. On some Zeweir I-convergent sequence spaces defined by a modulus function. Afrika Matematika, 26: 115-125.
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  38. Khan, V.A., K. Ebadullah and R.K.A. Rababah, 2015. Intuitionistic fuzzy zweier I-convergent sequence spaces. Funct. Anal.: Theory Methods Applic., 1: 1-7.
  39. Khan, V.A., A. Esi, Yasmeen, R.K.A. Rababah and R.A.H. Al Rababah, 2015. On some generalised I-convergent sequence spaces of double interval numbers. New Trends Math. Sci., 4: 125-137.
    CrossRef  |  
  40. Khan, V.A. and N. Khan, 2015. Spaces of Ideal Convergent Double Sequences. Matrix Rom Ltd. Publishing Company, Romania, ISBN: 978-606-25-0146-4.
  41. Khan, V.A. and M. Shafiq, 2015. On paranorm I-convergent sequence spaces defined by a compact operator and a modulus function. Southeast Asian Bull. Math., 39: 77-92.
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  42. Khan, V.A. and M. Shafiq, 2015. On I-convergent sequence spaces of bounded linear operators defined by a sequence of moduli. Applied Math. Inform. Sci., 9: 1475-1483.
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  43. Khanm, V.A. and N. Khan, 2014. Zweier I-convergent double sequence spaces defined by an Orlicz function. J. Applied Math. Inform., 32: 687-695.
  44. Khanm, V.A. and N. Khan, 2014. On some Generalised I-convergent double sequence spaces defined by modulus function. J. Applied Math. Inform., 32: 331-341.
  45. Khan, V.A., K. Ebadullah, A. Esi and Yasmeen, 2014. Zweier I-convergent sequence spaces defined by a sequence of moduli. Theory Applic. Math. Comput. Sci., 4: 211-220.
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  46. Khan, V.A., K. Ebadullah and Y. Aligarh, 2014. On zweier I-convergent sequence spaces. Proyecciones J. Math., 33: 259-276.
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  47. Khan, V.A., A. Esi and M. Shafiq, 2014. On some BVσ I-convergent sequence spaces defined by modulus function. Global J. Math. Anal., 2: 17-27.
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  48. Khan, V.A., A. Esi and M. Shafiq, 2014. On paranorm BVσ I-convergent sequence spaces defined by an Orlicz function. Global J. Math. Anal., 2: 28-43.
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  49. Khan, V.A., 2014. On Some Spaces of I-Convergent Sequences. Matrix Rom Ltd. Publishing Company, Romania, ISBN: 978-606-25-0107-5.
  50. Khan, V.A. and M. Shafiq, 2014. On paranorm I-convergent sequence spaces of interval numbers defined by modulus function. J. Anal. Number Theory, 2: 111-118.
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  51. Khan, V.A. and M. Shafiq, 2014. On paranorm I -convergent sequence spaces of interval numbers. J. Nonlinear Anal. Optim., 5: 103-114.
  52. Khan, V.A. and M. Shafiq, 2014. On I-Convergent sequence spaces of bounded linear operators. Curr. Adv. Math. Res., 1: 71-82.
  53. Khan, V.A. and M. Shafiq, 2014. On I -convergent sequence spaces of bounded linear operators defined by modulus function. J. Math. Anal., 5: 12-27.
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  54. Khan, V.A. and K. Ebadullah, 2014. The sequence space BVIσ(p). Filomat, 28: 829-838.
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  55. Khan, V.A. and K. Ebadullah, 2014. On some generalized i-convergent sequence spaces defined by a sequence of moduli. Theory Applic. Math. Comput. Sci., 4: 99-105.
  56. Esi, A. and V.A. Khan, 2014. On Casaro sequence space of fuzzy numbers defined by a modulus function. Open Access Library J., Vol. 1. 10.4236/oalib.1100920.
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  57. Khan, V.A., N. Khan, A. Esi and S. Tabassum, 2013. I-pre-Cauchy double sequences and Orlicz functions. Engineering, 5: 52-56.
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  58. Khan, V.A. and S. Tabassum, 2013. On ideal convergent difference double sequence spaces in n-normed spaces defined by Orlicz function. Theory Applic. Math. Comput. Sci., 3: 90-98.
  59. Khan, V.A. and N. Khan, 2013. On some I-convergent double sequence spaces defined by a sequence of modulii. J. Math. Anal., 4: 1-8.
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  60. Khan, V.A. and N. Khan, 2013. On some I-Convergent double sequence spaces defined by a modulus function. Engineering, 5: 35-40.
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  61. Khan, V.A. and N. Khan, 2013. On a new I-convergent double-sequence space. Int. J. Anal., Vol. 2013. 10.1155/2013/126163.
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  62. Khan, V.A. and K. Ebadullah, 2013. Zeweir I-convergent sequence spaces defined by Orlicz functions. Analysis, 33: 251-261.
  63. Khan, V.A. and K. Ebadullah, 2013. On some new I-convergent sequence spaces. Mathematica Aeterna, 3: 151-159.
  64. Khan, V.A., K. Ebadullah, A. Esi, N. Khan and M. Shafiq, 2013. On paranorm zweier-convergent sequence spaces. J. Math., Vol. 2013. 10.1155/2013/613501.
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  65. Khan, V.A., T. Sabiha and E. Ayhan, 2012. Aσ-double sequence spaces and double statistical convergence in 2-normed spaces defined by orlicz functions. Theory Applic. Math. Comput. Sci., 2: 61-71.
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  66. Khan, V.A., S. Tabassum and A. Esi, 2012. Statistically convergent double sequence spaces in n-normed spaces. ARPN J. Sci. Technol., 2: 991-995.
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  67. Khan, V.A., S. Suantai and K. Ebadullah, 2012. On some I-convergent sequence spaces defined by a sequence of moduli. J. Nonlinear Anal. Optim.: Theory Applic., 3: 145-152.
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  68. Khan, V.A., K. Ebadullah, X.M. Li and M. Shafiq, 2012. On some generalized I-convergent sequence spaces defined by a modulus function. Theory Applic. Math. Comput. Sci., 2: 1-11.
  69. Khan, V.A., K. Ebadullah and S. Suantai, 2012. On a new I-convergent sequence space. Analysis, 32: 199-208.
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  70. Khan, V.A., 2012. Some geometric properties of Riesz-Musielak-Orlicz sequence spaces. Thai J. Math., 8: 565-574.
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  71. Khan, V.A., 2012. On λ-Zweier convergent sequence spaces. Theory Applic. Math. Comput. Sci., 2: 23-28.
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  72. Khan, V.A., 2012. On Δvm-Cesaro Summable double sequences. Thai J. Math., 10: 535-539.
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  73. Khan, V.A., 2012. An extension of Kuttner’s theorem. Theory Applic. Math. Comput. Sci., 1: 7-15.
  74. Khan, V.A. and S. Tabassum, 2012. Statistically pre-Cauchy double sequences. Southeast Asian Bull. Math., 36: 249-254.
  75. Khan, V.A. and S. Tabassum, 2012. Some I-lacunary difference double sequences in N-normed spaces defined by sequence of orlicz functions. J. Math. Comput. Sci., 2: 734-746.
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  76. Khan, V.A. and K. Ebadullah, 2012. I-convergent difference sequence spaces defined by a sequence of moduli. J. Math. Comput. Sci., 2: 265-273.
  77. Khan, V.A., 2011. Spaces of strongly almost summable difference sequences. Acta Univ. Apulensis, 28: 261-270.
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  78. Khan, V.A., 2011. Some new generalized difference sequence spaces defined by a sequence of Moduli. Applied Math.-J. Chinese Univ., 26: 104-108.
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  79. Khan, V.A., 2011. Some matrix transformations and measures of noncompactness. Rendiconti del Circolo Matematico di Palermo, 60: 153-160.
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  80. Khan, V.A., 2011. On some geometrical properties of generalized lacunary strongly convergent sequence space. J. Math. Anal., 2: 6-14.
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  81. Khan, V.A., 2011. On some generalized difference sequence spaces defined by a sequence of moduli. Int. J. Res. Rev. Applied Sci., 7: 2093-2096.
  82. Khan, V.A. and S. Tabassum, 2011. The strongly summable generalized difference double sequence spaces in 2-normed spaces defined by Orlicz functions. J. Math. Notes, 7: 45-58.
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  83. Khan, V.A. and S. Tabassum, 2011. Statistically convergent double sequence spaces in 2-normed spaces defined by Orlicz function. Applied Math., 2: 398-402.
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  84. Khan, V.A. and S. Tabassum, 2011. Some vector valued multiplier difference double sequence spaces in 2-normed spaces defined by Orlicz functions. J. Math. Comput. Sci., 1: 126-139.
  85. Khan, V.A. and S. Tabassum, 2011. On some new quasi almost ∆m -Lacunary strongly P-convergent double sequences defined by Orlicz functions. J. Math. Applic., 34: 45-52.
  86. Khan, V.A. and S. Tabassum, 2011. On some new double sequence spaces of invariant means defined by Orlicz functions. Commun. Fac. Sci. Univ. Ank. Ser., 60: 11-21.
  87. Khan, V.A. and S. Tabassum, 2011. On some new almost double lacunary∆m-sequence spaces defined by Orlicz functions. Gen. Math. Notes, 6: 80-94.
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  88. Khan, V.A. and K. Ebadullah, 2011. On some I-Convergent sequence spaces defined by a modulus function. Theory Applic. Math. Comput. Sci., 1: 22-30.
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  89. Khan, V.A. and K. Ebadullah, 2011. On a new difference sequence space of invariant means defined by Orlicz functions. Bull. Allahabad Math. Soc., 26: 259-272.
  90. Khan, V.A. and K. Ebadullah, 2011. I-Pre-cauchy sequences and Orlicz functions. J. Math. Anal., 2: 6-14.
  91. Bilgin, T. and V.A. Khan, 2011. A new type of difference sequence spaces of fuzzy real numbers. Int. J. Math. Arch., 2: 154-158.
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  92. Khan, V.A., 2010. Strong summability with respect to a sequence of Orlicz functions. Global J. Sci. Front. Res., 10: 32-35.
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  93. Khan, V.A., 2010. Some geometric properties of a generalized Cesaro sequence space. Acta Math. Univ. Comenianae, 79: 1-8.
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  94. Khan, V.A., 2010. Quasi almost convergence in a normed space for double sequence. Thai J. Math., 8: 227-231.
  95. Khan, V.A., 2010. On a new sequence space defined by Musielak-Orlicz functions. Mathematica, 55: 143-149.
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  96. Khan, V.A., 2010. A new type of difference sequence spaces. Applied Sci., 12: 102-108.
  97. Khan, V.A., 2008. a new sequence space related to the Orlicz sequence space. J. Math. Applic., 30: 101-109.
  98. Khan, V.A., 2008. On a new sequence space defined by Orlicz functions. Commun. Fac. Sci. Univ. Ank. Ser. A, 1: 25-33.
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  99. Khan, V.A., 2008. On a class of difference sequences related to the p-normed space lp defined by modulus function. Bull. Allahabad Math. Soc., 23: 185-192.
  100. Khan, V.A., 2008. On Quasi almost lacunary strong convergence diffference sequence spaces defined by sequence of moduli. Math. Vesnik, 60: 95-100.
  101. Khan, V.A., 2008. New lacunary strongly summable difference sequences and D.m -lacunary almost statistical convergence. Vietnam J. Math., 36: 405-413.
  102. Khan, V.A., 2008. Nearly uniform convexity of a Norlund-Musielak-Orlicz sequence space. Int. Math. Forum, 3: 1945-1958.
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  103. Khan, V.A. and Q.M.D. Lohani, 2008. Some new difference sequence spaces defined by Musielak-Orlocz function. Thai J. Math., 6: 215-223.
  104. Khan, V.A., 2007. Statistically pre-Cauchy sequences and Orlicz function. Southeast Asian Bull. Math., 31: 1107-1112.
  105. Khan, V.A., 2007. On Statistically pre-Cauchy sequences and Bounded sequence of moduli. Nonlinear Anal. Forum, 12: 163-167.
  106. Khan, V.A., 2007. On Riesz-Musielak-Orlicz sequence spaces. Numer. Funct. Anal. Optimiz., 28: 883-895.
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  107. Khan, V.A., 2006. Some inclusion relations between the difference sequence spaces defined by sequence of moduli. J. Indian Math. Soc., 73: 77-81.
  108. Khan, V.A., 2006. Some geometric properties for Norlund sequence spaces. Nonlinear Anal. Forum, 11: 101-108.
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  109. Khan, V.A., 2006. New Lacunary strong convergence difference sequence spaces defined by sequence of moduli. Kyungpook Math. J., 46: 591-595.
  110. Khan, V.A., 2006. Difference sequence spaces defined by a sequence of moduli. Southeast Asian Bull. Math., 30: 1061-1067.
  111. Khan, V.A. and M. Mursaleen, 2006. Applications of measures of noncompactness in matrix transformations. Applied Math. Lett., 7: 599-606.
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  112. Mursaleen, M. and V.A. Khan, 2005. Generalized Cesaro vector-valued sequence space and matrix transformations. Inform. Sci., 173: 11-21.
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  113. Khan, V.A., 2005. On a sequence space defined by modulus function. Southeast Asian Bull. Math., 29: 1-7.
  114. Mursaleen, M. and V.A. Khan, 2004. Some geometric properties of a sequence space of Riesz mean. Thai J. Math., 2: 165-171.
  115. Khan, V.A. and A.H. Saifi, 2003. Some geometric properties of a generalized Cesaro musielak-Orlicz sequence space. Thai J. Math., 1: 97-108.