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  • Research Article
  • Open Access

On the Cauchy Functional Inequality in Banach Modules

Journal of Inequalities and Applications20082008:904852

  • Received: 17 January 2008
  • Accepted: 16 April 2008
  • Published:


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.


  • Full Article
  • Publisher Note
  • Functional Inequality
  • Banach Module

Publisher note

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Authors’ Affiliations

Department of Mathematics, Hanyang University, Seoul, 133791, South Korea


© 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.