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Hyers-Ulam-Rassias stability of homomorphisms in quasi-Banach algebras associated to the Pexiderized Cauchy functional equation
- Authors
- Najati, Abbas; Park, Choonkil
- Issue Date
- Nov-2007
- Publisher
- Academic Press
- Keywords
- cauchy functional equation; homomorphism in quasi-Banach algebra; Hyers-Ularn-Rassias stability; p-Banach algebra
- Citation
- Journal of Mathematical Analysis and Applications, v.335, no.2, pp 763 - 778
- Pages
- 16
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Mathematical Analysis and Applications
- Volume
- 335
- Number
- 2
- Start Page
- 763
- End Page
- 778
- ISSN
- 0022-247X
1096-0813
- 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 (1987) 297-300]. (c) 2007 Elsevier Inc. All rights reserved.
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