Open Access

Additive Functional Inequalities in Banach Modules

Journal of Inequalities and Applications20082008:592504

DOI: 10.1155/2008/592504

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.