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Additive Functional Inequalities in Banach Modules

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 in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorphisms in complex Banach algebras and prove the generalized Hyers-Ulam stability of homomorphisms in complex Banach algebras.

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Correspondence to Jong Su An.

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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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Park, C., An, J.S. & Moradlou, F. Additive Functional Inequalities in Banach Modules. J Inequal Appl 2008, 592504 (2008). https://doi.org/10.1155/2008/592504

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  • DOI: https://doi.org/10.1155/2008/592504

Keywords

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  • Functional Inequality
  • Additive Functional Inequality