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Using the fixed point method, we prove the generalized Hyers-Ulam stability of the following cubic-quadratic functional equation
(0.1) 1/2
(f(2x+y) + f(2x-y) - f(-2x-y) - f(y-2x)) = 2f(x+y) + 2 f(x-y) + 4 f(x) - 8f(-x) - 2f(y) - 2f(-y)
in fuzzy Banach spaces.
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참고문헌 (12)
참고문헌 신청
C. Baak / 2005 / On the stability of J¤-homomorphisms / Nonlinear Analysis-TMA 63 : 42 ~ 48
J. Diaz / 1968 / A ?xed point theorem of the alternative for contractions on a generalized complete metric space / Bull. Amer. Math. Soc 74 : 305 ~ 309
L. C¸adariu / 2003 / Fixed points and the stability of Jensen's functional equation / J. Inequal. Pure Appl. Math 4 (1)
L. C¸adariu / 2004 / On the stability of the Cauchy functional equation: a ?xed point approach / Grazer Math. Ber. 346 : 43 ~ 52
L. C¸adariu / 2008 / Fixed point methods for the generalized stability of functional equations in a single variable / Fixed Point Theory and Applications 2008, Art. ID 749392
J. Diaz / 1968 / A ?xed point theorem of the alternative for contractions on a generalized complete metric space / Bull. Amer. Math. Soc 74 : 305 ~ 309
L. C¸adariu / 2003 / Fixed points and the stability of Jensen's functional equation / J. Inequal. Pure Appl. Math 4 (1)
L. C¸adariu / 2004 / On the stability of the Cauchy functional equation: a ?xed point approach / Grazer Math. Ber. 346 : 43 ~ 52
L. C¸adariu / 2008 / Fixed point methods for the generalized stability of functional equations in a single variable / Fixed Point Theory and Applications 2008, Art. ID 749392
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