International Journal of Nonlinear Analysis and Applications
Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras
Document Type : Research Paper
Authors
1 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
2 Department of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran
Abstract
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*}
Keywords
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Volume 12, Issue 1
May 2021Pages 533-540
- Receive Date: 04 April 2020
- Revise Date: 28 September 2020
- Accept Date: 06 February 2021
- First Publish Date: 06 February 2021