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Stability of orthogonally quintic functional equation on C*-algebras with the type fixed point alternative | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 16، شماره 3، خرداد 2025، صفحه 379-384 اصل مقاله (345.6 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27663.3678 | ||
| 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: 10 تیر 1401، تاریخ بازنگری: 19 شهریور 1401، تاریخ پذیرش: 26 شهریور 1401 | ||
| چکیده | ||
| Using fixed point methods, we prove the stability of orthogonally quintic functional equation on C ∗ -algebras for the functional equation $$Df(x, y) = f(3x + y) − 5f(2x + y) + f(2x − y) + 10f(x + y) − 5f(x − y) − 10f(y) − f(3x) + 3f(2x) + 27f(x).$$ | ||
| کلیدواژهها | ||
| Fixed point؛ Hyers-Ulam stability؛ C*-algebras؛ quintic functional equation | ||
| مراجع | ||
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