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  • Research Article
  • Open Access

On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

Journal of Inequalities and Applications20082008:210626

  • Received: 18 February 2008
  • Accepted: 2 May 2008
  • Published:


We study the following generalized additive functional inequality , associated with linear mappings in Banach spaces. Moreover, we prove the Hyers-Ulam-Rassias stability of the above generalized additive functional inequality, associated with linear mappings in Banach spaces.


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

Publisher note

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Authors’ Affiliations

Department of Mathematics, Daejin University, Kyeonggi, 487-711, South Korea
Department of Mathematics, Hanyang University, Seoul, 133-791, South Korea
Department of Mathematics, University of Seoul, Seoul, 130-743, South Korea


© Jung Rye Lee 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.