Characterization and the stability of a system of multi-radical mappings related to the additive mapping | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 9، دوره 7، شماره 4، زمستان 2026، صفحه 467-477 اصل مقاله (457.69 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23946.1341 | ||
| نویسندگان | ||
| Abasalt Bodaghi* 1؛ Sedigheh Hosseini2 | ||
| 1Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran | ||
| چکیده | ||
| In the current investigation, we define $s$-multi-radical mappings, characterize the structure of such mappings and then obtain an equation for describing them. In fact, we find a necessary and sufficient condition for a multiple mapping to be $s$-multi-radical. We also deal with the Hyers-Ulam stability in the spirit of Gavruta for an $s$-multi-radical equation by applying the so-called direct (Hyers) method in the setting of 2-Banach spaces. For a typical case, by means of a norm, induced from a 2-norm of $\mathbb R^m$, we investigate the stability of a mapping $f:\mathbb R^{mn}\longrightarrow \mathbb R^{m}$ by a known fixed point method. | ||
| کلیدواژهها | ||
| Hyers-Ulam stability؛ Cubic functional equation؛ Multi-radical mapping؛ Quintic functional equation؛ Septic functional equation | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 318 تعداد دریافت فایل اصل مقاله: 49 |
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