Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation |
| |
| Authors: | Abbas Najati Choonkil Park |
| |
| Institution: | a Faculty of Sciences, Department of Mathematics, Mohaghegh Ardebili University, Ardebil, Islamic Republic of Iran
b Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea |
| |
| Abstract: | In this paper, we prove the Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation. This is applied to investigate homomorphisms between quasi-Banach algebras. The concept of Hyers-Ulam-Rassias stability originated from Th.M. Rassias' stability theorem that appeared in his paper Th.M. Rassias, On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978) 297-300]. |
| |
| Keywords: | Cauchy functional equation Homomorphism in quasi-Banach algebra Hyers-Ulam-Rassias stability p-Banach algebra |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
