논문KCI 등재
A new type of the additive functional equations on intuitionistic fuzzy normed spaces
대한수학회 (The Korean Mathematical Society)|2017.10|대한수학회논문집 (Communications of the KMS)|제32권 제4호|pp. 915-932
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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)
- J. Aczel, "Functional Equations in Several Variables" (1989), Cambridge Univ, Press
- T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
- 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)
- K. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20(1), pp.87~96 (1986)
- 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)
- I. Beg, "Fixed points on intuitionistic fuzzy metric spaces using the E.A. property", J. Nonlinear Funct. Anal, 2015 (2015)
- A. Bodaghi, "Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations", J. Intel. Fuzzy Syst, 30, pp.2309~2317 (2016)
- A. Bodaghi, "Cubic derivations on Banach algebras", Acta Math. Vietnam, 38(4), pp.517~528 (2013)
- A. Bodaghi, "On the stability of quadratic double centralizers and quadratic multipliers: A fixed point approach", J. Inequal. Appl, 2011, pp.9~ (2011)
- 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)
- Abasalt Bodaghi, "Fundamental stabilities of the nonic functional equation in intuitionistic fuzzy normed spaces", 대한수학회논문집, 31(4), pp.729~743 (2016), 대한수학회
- L. C˘adariu, "Fixed points and the stability of quadratic functional equations", An. Univ. Timisoara Ser. Mat.-Inform, 41(1), pp.25~48 (2003)
- 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
- 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)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
- D. H. Hyers, "Stability of Functional Equations in Several Variables" (1998), Birkhäuser
- Pl. Kannappan, "Functional Equations and Inequalities with Applications" (2009), Springer Monographs in Mathematics
- 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)
- 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)
- S. A. Mohiuddine, "On generalized statistical convergence in intuitionistic fuzzy normed space", Chaos Solitons Fractals, 42(3), pp.731~1737 (2009)
- M. Mursaleen, "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces", Chaos Solitons Fractals, 42(5), pp.2997~3005 (2009)
- P. Narasimman, "Solution and stability of a mixed type functional equa-tion", Filomat, 31(5), pp.1229~1239 (2017)
- J. H. Park, "Intuitionistic fuzzy metric spaces", Chaos Solitons Fractals, 22(5), pp.1039~1046 (2004)
- J. M. Rassias, "On approximately of approximately linear mappings by linear mappings", J. Funct. Anal, 46(1), pp.126~130 (1982)
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72(2), pp.297~300 (1978)
- Th. M. Rassias, "Functional Equations, Inequalities and Applications" (2003), Kluwer Acedamic Publishers
- R. Saadati, "On the intuitionistic fuzzy topological spaces", Chaos Solitons Fractals, 27(2), pp.331~344 (2006)
- R. Saadati, "Modified intuitionistic fuzzy metric spaces and some fixed point theorems", Chaos Solitons Fractals, 38(1), pp.36~47 (2008)
- S. M. Ulam, "Problems in Modern Mathematics" (1964), Wiley
- S. Y. Yang, "Approximate cubic *-derivations on Banach *-algebras", Abstr. Appl. Anal, 2012, pp.12~ (2012)
- L. A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)
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