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Stability of general -quartic functional equations in non-Archimedean intuitionistic Fuzzy normed spaces

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The aim of this article is to study the Hyers-Ulam-Rassias stability and generalized Hyers-Ulam-Rassias stability in non-Archimedean Intuitionistic fuzzy normed spaces. The paper introduces a new A- quartic functional equation and obtain solution for the same functional equation. Further, stability problem is investigated for the newly intro- duced A-quartic functional equation in non-Archimedean intuitionistic fuzzy normed spaces.

Abstract

The aim of this article is to study the Hyers-Ulam-Rassias stability and generalized Hyers-Ulam-Rassias stability in non-Archimedean Intuitionistic fuzzy normed spaces. The paper introduces a new A- quartic functional equation and obtain solution for the same functional equation. Further, stability problem is investigated for the newly intro- duced A-quartic functional equation in non-Archimedean intuitionistic fuzzy normed spaces.

참고문헌 (25)

  1. Abasalt Bodaghi, "Fundamental stabilities of the nonic functional equation in intuitionistic fuzzy normed spaces", 대한수학회논문집, 31(4), pp.729~743 (2016), 대한수학회
  2. T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
  3. R. Biswas, "Fuzzy inner product space and fuzzy norm functions", Inform. Sci, 53, pp.185~190 (1991)
  4. S.C. Cheng, "Fuzzy linear operator and fuzzy normed linear spaces", Bull. Calcutta Math. Soc, 86, pp.429~436 (1994)
  5. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl., 184, pp.431~436 (1994)
  6. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci, 27, pp.222~224 (1941)
  7. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  8. A. K. Katsaras, "Fuzzy topological vector spaces II", Fuzzy Sets Syst, 12, pp.143~154 (1984)
  9. E. Movahednia, "Stability of a generalized quadratic functional equation in intuitionistic fuzzy 2-normed space", Filomat, 30(2), pp.449~457 (2016)
  10. S.A. Mohiuddine, "On generalized statistical convergence in intuitionistic fuzzy normed space", Chaos Solitons Fractals, 42(3), pp.1731~1737 (2009)
  11. S.A. Mohiuddine, "Stability of various functional equations in non-Archimedean intuitionistic fuzzy normed spaces", Discrete Dyn. Nat. Soc., pp.16~ (2012)
  12. M. Mursaleen, "Statistical convergence of double sequences in intuitionistic fuzzy normed spaces", Chaos Solitons Fractals, 41(5), pp.2414~2421 (2009)
  13. M. Mursaleen, "On lacunary statistical convergence with respect to the intuitionistic fuzzy normed space", J. Comput. Appl. Math, 233(2), pp.142~149 (2009)
  14. M. Mursaleen, "Nonlinear operators between intuitionistic fuzzy normed spaces and Frechet derivative", Chaos Solitons Fractals, 42(2), pp.1010~1015 (2009)
  15. M. Mursaleen, "On the ideal convergence of double sequences in intuitionistic fuzzy normed spaces", Comput. Math. Appl, 59(2), pp.603~611 (2010)
  16. M. Mursaleen, "Schauder basis, separability, and approximation property in intuitionistic fuzzy normed space", Abstr. Appl. Anal, pp.14~ (2010)
  17. J. M. Rassias, "On approximately of approximately linear mappings by linear mappings", J. Funct. Anal. USA, 46, pp.126~130 (1982)
  18. K. Ravi, "Ulam stability for the orthogonally general Euler-Lagrange type functional equation", Int. J. Math. Stat., 3(08), pp.36~47 (2008)
  19. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc., 72, pp.297~300 (1978)
  20. R. Saadati, "On the intuitionistic fuzzy topological spaces", Chaos Solitons Fractals, 27(2), pp.331~344 (2006)
  21. S.M. Ulam, "A Collection of the Mathematical Problems" (1960), Interscience Publ.
  22. C. Wu, "Fuzzy generalization of Kolmogoroff’s theorem", J. Harbin Inst. Technol., 1, pp.1~7 (1984)
  23. T. Z. Xu, "A fixed point approach to the Intuitionistic fuzzy stability of Quintic and Sextic functional equations", Iran. J. Fuzzy Syst, 9(5), pp.21~40 (2012)
  24. T.Z. Xu, "A generalized mixed quadratic-quartic functional equation", Bull. Malays. Math. Sci. Soc., 35(3), pp.633~649 (2012)
  25. Y. Yilmaz, "On some basic properties of differentiation in intuitionistic fuzzy normed spaces", Math. Comput. Modelling, 52(3-4), pp.448~458 (2010)

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