Research Article
Open Access
Additive Functional Inequalities in Banach Modules
- Choonkil Park1,
- Jong Su An2Email author and
- Fridoun Moradlou3
Journal of Inequalities and Applications20082008:592504
https://doi.org/10.1155/2008/592504
© Choonkil Park et al. 2008
Received: 1 April 2008
Accepted: 10 November 2008
Published: 16 November 2008
Abstract
We investigate the following functional inequality
in Banach modules over a
-algebra and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a
-algebra in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorphisms in complex Banach algebras and prove the generalized Hyers-Ulam stability of homomorphisms in complex Banach algebras.
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Authors’ Affiliations
(1)
Department of Mathematics, Hanyang University
(2)
Department of Mathematics Education, Pusan National University
(3)
Faculty of Mathematical Science, University of Tabriz
Copyright
© Choonkil Park et al. 2008
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
