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n-Jordan *-Derivations in Frechet locally C*-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 42، دوره 13، شماره 1، خرداد 2022، صفحه 555-562 اصل مقاله (386.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.19996.2116 | ||
| نویسندگان | ||
| Javad Jamalzadeh* ؛ Khatere Ghasemi؛ Shahram Ghaffary | ||
| Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
| تاریخ دریافت: 19 خرداد 1400، تاریخ بازنگری: 26 خرداد 1400، تاریخ پذیرش: 07 مرداد 1400 | ||
| چکیده | ||
| Using the fixed point method, we prove the Hyers-Ulam stability and the superstability of $n$-Jordan $*$-derivations in Fr'echet locally $C^*$-algebras for the following generalized Jensen-type functional equation $$ f\left(\frac{ a+b}{2} \right) + f\left( \frac{a-b}{2} \right) =f(a).$$ | ||
| کلیدواژهها | ||
| n-Jordan *-derivation؛ Frechet locally C-algebra؛ Frechet algebra؛ fixed point method؛ Hyers-Ulam stability | ||
| مراجع | ||
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