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Park, Choonkil, Senasukh, Jedsada. (1401). Notes on f-hom-ders associated with a system of additive functional equations in unital algebras. نشریه هنرهای کاربردی, 14(1), 603-612. doi: 10.22075/ijnaa.2022.28244.3843
Choonkil Park; Jedsada Senasukh. "Notes on f-hom-ders associated with a system of additive functional equations in unital algebras". نشریه هنرهای کاربردی, 14, 1, 1401, 603-612. doi: 10.22075/ijnaa.2022.28244.3843
Park, Choonkil, Senasukh, Jedsada. (1401). 'Notes on f-hom-ders associated with a system of additive functional equations in unital algebras', نشریه هنرهای کاربردی, 14(1), pp. 603-612. doi: 10.22075/ijnaa.2022.28244.3843
Park, Choonkil, Senasukh, Jedsada. Notes on f-hom-ders associated with a system of additive functional equations in unital algebras. نشریه هنرهای کاربردی, 1401; 14(1): 603-612. doi: 10.22075/ijnaa.2022.28244.3843

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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