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On the Stability of Generalized Additive Functional Inequalities in Banach Spaces

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.

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Correspondence to Choonkil Park.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Lee, J.R., Park, C. & Shin, D.Y. On the Stability of Generalized Additive Functional Inequalities in Banach Spaces. J Inequal Appl 2008, 210626 (2008). https://doi.org/10.1155/2008/210626

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

Keywords

  • Banach Space
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  • Functional Inequality
  • Additive Functional Inequality