Characterization and stability of multi-cubic mappings | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 201، دوره 13، شماره 2، مهر 2022، صفحه 2493-2502 اصل مقاله (403.88 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24314.2717 | ||
| نویسندگان | ||
| Ali Reza Neisi؛ Mohammad Sadegh Asgari* | ||
| Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| چکیده | ||
| In this article, we introduce a new class of multi-cubic mappings and then unify a system of cubic functional equations defining a multi-cubic mapping to an equation, as multi-cubic functional equation. Moreover, we show that the mentioned equation describes the multi-cubic mappings. Furthermore, we prove the Hyers-Ulam stability of multi-cubic mappings in non-Archimedean normed spaces by applying a known fixed point theorem. | ||
| کلیدواژهها | ||
| Fixed point؛ Hyers-Ulam stability؛ non-Archimedean normed space؛ multi-cubic mapping | ||
| مراجع | ||
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