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On an equation characterizing multi-quartic mappings and its stability | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 82، دوره 13، شماره 1، خرداد 2022، صفحه 991-1002 اصل مقاله (429.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.24010.2652 | ||
| نویسندگان | ||
| Zohreh Abbasbeygi1؛ Abasalt Bodaghi* 2؛ Ayoub Gharibkhajeh1 | ||
| 1Department of Mathematics, Tehran North Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Garmsar Branch, Islamic Azad University, Garmsar, Iran | ||
| تاریخ دریافت: 28 اردیبهشت 1400، تاریخ بازنگری: 31 تیر 1400، تاریخ پذیرش: 16 شهریور 1400 | ||
| چکیده | ||
| In this paper, we define and investigate the mappings of several variables which are quartic in each variable. We show that such mappings can be unified as an equation, say the multi-quartic functional equation. We also establish the Hyers-Ulam stability of a such functional equation by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability and hyperstability results. | ||
| کلیدواژهها | ||
| Multi-quartic functional equation؛ Multi-quartic mapping؛ Non-Archimedean normed space؛ Hyers-Ulam stability | ||
| مراجع | ||
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