Combined system of additive functional equations in Banach algebras
| Autor: | Donganont Siriluk, Park Choonkil |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Open Mathematics, Vol 22, Iss 1, Pp 3319-3327 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2391-5455 |
| DOI: | 10.1515/math-2023-0177 |
| Popis: | In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end{array}\right. and we investigate the stability of (homomorphism, derivation)-systems in Banach algebras. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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