Open Access

On the Cauchy Functional Inequality in Banach Modules

Journal of Inequalities and Applications20082008:904852

https://doi.org/10.1155/2008/904852

Received: 17 January 2008

Accepted: 16 April 2008

Published: 17 April 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.

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Authors’ Affiliations

(1)
Department of Mathematics, Hanyang University

Copyright

© Choonkil Park. 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.