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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

https://doi.org/10.1155/2008/210626

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

Abstract

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.

Keywords

  • Banach Space
  • 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, Daejin University, Kyeonggi, 487-711, South Korea
(2)
Department of Mathematics, Hanyang University, Seoul, 133-791, South Korea
(3)
Department of Mathematics, University of Seoul, Seoul, 130-743, South Korea

Copyright

© 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.

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