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Stability of fuzzy orthogonally $*$-$n$-derivation in orthogonally fuzzy $C^*$-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 41، دوره 12، شماره 1، مرداد 2021، صفحه 533-540 اصل مقاله (392.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4835 | ||
| نویسندگان | ||
| Najmeh Ansari1؛ Mohammad Hadi Hooshmand* 1؛ Madjid Eshaghi Gordji2؛ Khadijeh Jahedi1 | ||
| 1Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran | ||
| 2Department of Mathematics, Semnan University P.O. Box 35195-363, Semnan, Iran | ||
| تاریخ دریافت: 16 فروردین 1399، تاریخ بازنگری: 07 مهر 1399، تاریخ پذیرش: 18 بهمن 1399 | ||
| چکیده | ||
| 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*} | ||
| کلیدواژه‌ها | ||
| Stability؛ Fixed point approach؛ $*$-$n$-derivation, Fuzzy $C^*$-algebra | ||
| مراجع | ||
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