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Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation |
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| Authors: | Abbas Najati Choonkil Park |
| Affiliation: | 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 |
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