A Fixed Point Approach to the Fuzzy Stability of an AQCQ-Functional Equation
Abstract
By Moslehian et al. investigated the fuzzy stability problems for the Cauchy additive functional equation and
the Jensen additive functional equation in fuzzy Banach spaces.
Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadratic-cubic-quartic
functional equation
\begin{eqnarray}
f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y) - 6 f(x) + f(2y) + f(-2y) - 4f(y) - 4 f(-y)
\end{eqnarray} in fuzzy Banach spaces.
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