Fuzzy Stability of Jensen‐Type Quadratic Functional Equations
Sun-Young Jang,
Jung Rye Lee,
Choonkil Park and
Dong Yun Shin
Abstract and Applied Analysis, 2009, vol. 2009, issue 1
Abstract:
We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.
Date: 2009
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https://doi.org/10.1155/2009/535678
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:535678
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