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Notes on f-hom-ders associated with a system of additive functional equations in unital algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 47، دوره 14، شماره 1، فروردین 2023، صفحه 603-612 اصل مقاله (401.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28244.3843 | ||
| نویسندگان | ||
| Choonkil Park1؛ Jedsada Senasukh* 2 | ||
| 1Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Korea | ||
| 2Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand | ||
| تاریخ دریافت: 05 مرداد 1401، تاریخ بازنگری: 08 شهریور 1401، تاریخ پذیرش: 11 شهریور 1401 | ||
| چکیده | ||
| The following system of additive functional equations 2f(x+y)=g(x)+g(y), g(x+y)=2f(y-x)+4f(x) in a Banach algebra was investigated by Paokanta et al. [S. Paokanta, M. Dehghanian, C. Park and Y. Sayyari, System of additive functional equations in Banach algebras (preprint)]. By using the system (A), Paokanta et al. [S. Paokanta, M. Dehghanian, C. Park and Y. Sayyari, System of additive functional equations in Banach algebras (preprint)] also investigated the notion of an f-hom-der in Banach algebras. In this note, we first show that the system of additive functional equations (A) is equivalent to an additive functional equation and then some aspects related to f-hom-ders are discussed. Finally, we present stability results of f-hom ders associated with the system of additive functional equations (A). | ||
| کلیدواژه‌ها | ||
| f-hom-der؛ unital algebra؛ Banach algebra؛ system of additive functional equations؛ stability result | ||
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