Stability of fuzzy orthogonally *-n-derivation in orthogonally fuzzy C^*-algebras

‎In this paper‎, ‎using fixed point methods‎, ‎we prove the fuzzy orthogonally *-n-derivation on orthogonally fuzzy C^*-algebra for the functional equation‎‎\begin{align*}‎‎\begin{split}‎‎f(\frac{\mu x+\mu y}{۲}+\mu w)+f(\frac{\mu x+\mu w}{۲}+\mu y)+f(\frac{\mu y+\mu w}{۲}+\mu x)‎‎=۲\mu f(x)-۲\mu f(y)-۲\mu f(w)‎.‎\end{split}‎‎\end{align*}‎

Keywords:

‎Stability , Fixed point approach , *-n-derivation‎ , ‎Fuzzy C^*-algebra‎