Characterization and the stability of a system of multi-radical mappings related to the additive mapping

	Characterization and the stability of a system of multi-radical mappings related to the additive mapping
AUT Journal of Mathematics and Computing
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از 12 تیر 1404
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23946.1341
نویسندگان
Abasalt Bodaghi^* ؛ Sedigheh Hosseini
Department of Mathematics, West Tehran Branch, Islamic Azad University, Tehran, 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
Cubic functional equation؛ Multi-radical mapping؛ Quintic functional equation؛ Septic functional equation؛ Hyers-Ulam stability
آمار تعداد مشاهده مقاله: 206