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  • Research Article
  • Open Access

Additive Functional Inequalities in Banach Modules

Journal of Inequalities and Applications20082008:592504

https://doi.org/10.1155/2008/592504

  • Received: 1 April 2008
  • Accepted: 10 November 2008
  • Published:

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.

Keywords

  • Full Article
  • Publisher Note
  • Functional Inequality
  • Additive Functional Inequality

Publisher note

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Authors’ Affiliations

(1)
Department of Mathematics, Hanyang University, Seoul, 133–791, South Korea
(2)
Department of Mathematics Education, Pusan National University, Pusan, 609–735, South Korea
(3)
Faculty of Mathematical Science, University of Tabriz, Tabriz, 5166 15731, Iran

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.

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