Open Access

Additive Functional Inequalities in Banach Modules

Journal of Inequalities and Applications20082008:592504

Received: 1 April 2008

Accepted: 10 November 2008

Published: 16 November 2008


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.


Full ArticlePublisher NoteFunctional InequalityAdditive Functional Inequality

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Authors’ Affiliations

Department of Mathematics, Hanyang University, Seoul, South Korea
Department of Mathematics Education, Pusan National University, Pusan, South Korea
Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran


© Choonkil Park et al. 2008

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