Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras
نویسندگان
1 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
2 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
3 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
4 Department of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran
doi
10.22075/ijnaa.2021.4835چکیده
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}{2}+\mu w)+f(\frac{\mu x+\mu w}{2}+\mu y)+f(\frac{\mu y+\mu w}{2}+\mu x)=2\mu f(x)-2\mu f(y)-2\mu f(w).\end{split}\end{align*}
