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On the Cauchy Functional Inequality 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.

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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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Park, C. On the Cauchy Functional Inequality in Banach Modules. J Inequal Appl 2008, 904852 (2008). https://doi.org/10.1155/2008/904852

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  • DOI: https://doi.org/10.1155/2008/904852

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