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ON THE STABILITY OF A MIXED TYPE QUADRATIC AND CUBIC FUNCTIONAL EQUATION

이양희|이창주
한국수학교육학회|2012.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제4호|pp. 383-396

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참고문헌

키워드

fuzzy normed spacefuzzy almost cubic-quadratic mapping.
주제분류수학

초록

In this paper, we investigate a fuzzy version of stability for the func-tional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0in the sense of M. Mirmostafaee and M. S. Moslehian.

Abstract

In this paper, we investigate a fuzzy version of stability for the func-tional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0in the sense of M. Mirmostafaee and M. S. Moslehian.

참고문헌 (14)

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  2. T. Bag, "Finite dimensional fuzzy normed linear spaces", J. fuzzy Math, 11(3), pp.687~705 (2003)
  3. S.C. Cheng, "Fuzzy linear operator and fuzzy normed linear spaces", Bull. Calcutta Math. Soc, 86, pp.429~436 (1994)
  4. P. G¸avruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
  5. D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
  6. A. K. Katsaras, "Fuzzy topological vector spaces II", Fuzzy Sets and Systems, 12, pp.143~154 (1984)
  7. I. Kramosil, "Fuzzy metric and statistical metric spaces", Kybernetica, 11, pp.326~334 (1975)
  8. 이양희, "On the stability of the monomial functional equation", 대한수학회보, 45(2), pp.397~403 (2008), 대한수학회
  9. Y.-H. Lee, "On the Stability of Approximately Additive Mappings", Proc. Amer. Math. Soc, 128, pp.1361~1369 (2000)
  10. A. K. Mirmostafaee, "Fuzzy versions of Hyers-Ulam-Rassias theorem", Fuzzy Sets and Systems, 159, pp.720~729 (2008)
  11. M. Mursaleen, "On stability of a cubic functional equation in intuitionistic fuzzy normed spaces", Chaos, Solitons & Fractals, 42, pp.2997~3005 (2009)
  12. Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
  13. W. Towanlong, "A mixed-type quadratic and cubic functional equation and its stability", Thai Journal of Mathematics Special Issue, pp.61~71 (2010)
  14. S.M. Ulam, "A Collection of Mathematical Problems" (1960), Interscience

관련 논문AI추천

FUZZY STABILITY OF THE CAUCHY ADDITIVE AND QUADRATIC TYPE FUNCTIONAL EQUATION이양희, 진선숙대한수학회 · 대한수학회논문집2012 · 제27권 제3호FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS김창일, 윤용식영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Fuzzy stability of a cubic-quartic functional equation: a fixed point approach박춘길, 신동윤, 장선영대한수학회 · 대한수학회보2011 · 제48권 제3호The Hyers-Ulam Stability of Cubic Functrional Equations in Fuzzy Banach Spaces김창일, 윤용식영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Fuzzy stability of a cubic-quadratic functional equation: a fixed point approach박춘길, 이상협, 이상훈강원경기수학회 · 한국수학논문집2009 · 제17권 제3호On the Stability of a Mixed Type Functional Equation이양희, 정순모경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호

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