Intuitionistic fuzzy stability of Jensen-Type quadratic functional equations
Abstract
In this paper, we prove some stability results for Jensen-type
quadratic functional equations
\begin{eqnarray*}
&&2f(\frac{x+y}{2})+2f(\frac{x-y}{2})=f(x)+f(y),\\
&&f(ax+ay)+f(ax-ay)=2a^{2}f(x)+2a^{2}f(y)
\end{eqnarray*}
in intuitionistic fuzzy normed spaces for a nonzero real number $a$
with $a\neq \pm \frac{1}{2}$.
quadratic functional equations
\begin{eqnarray*}
&&2f(\frac{x+y}{2})+2f(\frac{x-y}{2})=f(x)+f(y),\\
&&f(ax+ay)+f(ax-ay)=2a^{2}f(x)+2a^{2}f(y)
\end{eqnarray*}
in intuitionistic fuzzy normed spaces for a nonzero real number $a$
with $a\neq \pm \frac{1}{2}$.
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