FUZZY STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION

Title & Authors
FUZZY STABILITY OF A GENERALIZED QUADRATIC FUNCTIONAL EQUATION
Najati, Abbas;

Abstract
We prove the generalized Hyers-Ulam stability of the generalized quadratic functional equation $\small{f(rx\;+\;sy)\;=\;r^2f(x)\;+\;s^2f(y)\;+\;\frac{rs}{2}[f(x\;+\;y)\;-\;f(x\;-\;y)]}$ in fuzzy Banach spaces, where r, s are non-zero rational numbers with $\small{r^2\;+\;s^2\;{\neq}\;1}$.
Keywords
Language
English
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