Solution and Hyers‐Ulam‐Rassias Stability of Generalized Mixed Type Additive‐Quadratic Functional Equations in Fuzzy Banach Spaces

M. Eshaghi Gordji, H. Azadi Kenary, H. Rezaei, Y. W. Lee and G. H. Kim

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: By using fixed point methods and direct method, we establish the generalized Hyers‐Ulam stability of the following additive‐quadratic functional equation f(x + ky) + f(x − ky) = f(x + y) + f(x − y)+(2(k + 1)/k)f(ky) − 2(k + 1)f(y) for fixed integers k with k ≠ 0, ±1 in fuzzy Banach spaces.

Date: 2012
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https://doi.org/10.1155/2012/953938

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:953938

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