Additive Functional Inequalities in Banach Modules

Choonkil Park; Jong Su An; Fridoun Moradlou

doi:10.1155/2008/592504

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

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.

Keywords

Full Article
Publisher Note
Functional Inequality
Additive Functional Inequality

Publisher note

To access the full article, please see PDF.

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

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.