The Hyers-Ulam stability of a quadratic functional equation with involution in paranormed spaces
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Abstract
In this paper, using fixed point method, we prove the Hyers-Ulam stability of the following functional equation
\begin{eqnarray*}
& &f(x+y+z)+f(\sigma(x)+y+z)+f(x+\sigma(y)+z)+f(x+y+\sigma(z))\\
&=&4f(x)+4f(y)+4f(z)
\end{eqnarray*}
with involution in paranormed spaces.
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References
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