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A new type of the additive functional equations on intuitionistic fuzzy normed spaces

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In this paper, we introduce a new type of additive functional equations and establish the generalized Ulam-Hyers stability for it in intuitionistic fuzzy normed space by using direct and fixed point methods.

Abstract

In this paper, we introduce a new type of additive functional equations and establish the generalized Ulam-Hyers stability for it in intuitionistic fuzzy normed space by using direct and fixed point methods.

참고문헌 (31)

  1. J. Aczel, "Functional Equations in Several Variables" (1989), Cambridge Univ, Press
  2. T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
  3. M. Arunkumar, "Intuitionistic fuzzy stability of a n-dimensional cubic functional equation: Direct and fixed point methods", Intern. J. Fuzzy Math. Arch, 7, pp.1~11 (2015)
  4. K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1), pp.87~96 (1986)
  5. I. Beg, "Common fixed point theorems for hybrid pairs of L-fuzzy and crisp mappings in non-Archimedean fuzzy metric spaces", J. Nonlinear Funct. Anal, 2016 (2016)
  6. I. Beg, "Fixed points on intuitionistic fuzzy metric spaces using the E.A. property", J. Nonlinear Funct. Anal, 2015 (2015)
  7. A. Bodaghi, "Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations", J. Intel. Fuzzy Syst, 30, pp.2309~2317 (2016)
  8. A. Bodaghi, "Cubic derivations on Banach algebras", Acta Math. Vietnam, 38(4), pp.517~528 (2013)
  9. A. Bodaghi, "On the stability of quadratic double centralizers and quadratic multipliers: A fixed point approach", J. Inequal. Appl, 2011, pp.9~ (2011)
  10. A. Bodaghi, "The generalized cubic functional equation and the stability of cubic Jordan *-derivations", Ann. Univ. Ferrara Sez. VII Sci. Mat, 59(2), pp.235~250 (2013)
  11. Abasalt Bodaghi, "Fundamental stabilities of the nonic functional equation in intuitionistic fuzzy normed spaces", 대한수학회논문집, 31(4), pp.729~743 (2016), 대한수학회
  12. L. C˘adariu, "Fixed points and the stability of quadratic functional equations", An. Univ. Timisoara Ser. Mat.-Inform, 41(1), pp.25~48 (2003)
  13. L. C˘adariu, "On the stability of the Cauchy functional equation: A fixed point approach, Iteration theory (ECIT '02)", Grazer Math. Ber., 346, pp.43~52 (2004), Karl-Franzens-Univ. Graz
  14. P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately ad-ditive mappings", J. Math. Anal. Appl, 184(3), pp.431~436 (1994)
  15. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
  16. D. H. Hyers, "Stability of Functional Equations in Several Variables" (1998), Birkhäuser
  17. Pl. Kannappan, "Functional Equations and Inequalities with Applications" (2009), Springer Monographs in Mathematics
  18. S. O. Kim, "Stability of functional inequalities associated with the Cauchy-Jensen additive functional equalities in non-Archimedean Banach spaces", J. Nonlinear Sci. Appl, 8(5), pp.776~786 (2015)
  19. B. Margolis, "A fixed point theorem of the alternative for contractions on a generalized complete metric space", Bull. Amer. Math. Soc, 126, pp.305~309 (1968)
  20. S. A. Mohiuddine, "On generalized statistical convergence in intuitionistic fuzzy normed space", Chaos Solitons Fractals, 42(3), pp.731~1737 (2009)
  21. M. Mursaleen, "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces", Chaos Solitons Fractals, 42(5), pp.2997~3005 (2009)
  22. P. Narasimman, "Solution and stability of a mixed type functional equa-tion", Filomat, 31(5), pp.1229~1239 (2017)
  23. J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons Fractals, 22(5), pp.1039~1046 (2004)
  24. J. M. Rassias, "On approximately of approximately linear mappings by linear mappings", J. Funct. Anal, 46(1), pp.126~130 (1982)
  25. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72(2), pp.297~300 (1978)
  26. Th. M. Rassias, "Functional Equations, Inequalities and Applications" (2003), Kluwer Acedamic Publishers
  27. R. Saadati, "On the intuitionistic fuzzy topological spaces", Chaos Solitons Fractals, 27(2), pp.331~344 (2006)
  28. R. Saadati, "Modified intuitionistic fuzzy metric spaces and some fixed point theorems", Chaos Solitons Fractals, 38(1), pp.36~47 (2008)
  29. S. M. Ulam, "Problems in Modern Mathematics" (1964), Wiley
  30. S. Y. Yang, "Approximate cubic *-derivations on Banach *-algebras", Abstr. Appl. Anal, 2012, pp.12~ (2012)
  31. L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

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