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Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach

Fixed Point Theory and Applications volume 2008, Article number: 872190 (2006) Cite this article

Abstract

we prove the Hyers-Ulam-Rassias stability of -algebra homomorphisms and of generalized derivations on -algebras for the following Cauchy-Jensen functional equation , which was introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias stability originated from the stability theorem of Th. M. Rassias that appeared in (1978).

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Authors and Affiliations

  1. Department of Mathematics, Hanyang University, Seoul, 133-791, South Korea

    Choonkil Park

  2. Department of Mathematics Education, Pusan National University, Pusan, 609-735, South Korea

    Jong Su An

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  1. Choonkil Park
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  2. Jong Su An
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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. Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach. Fixed Point Theory Appl 2008, 872190 (2006). https://doi.org/10.1155/2008/872190

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  • DOI: https://doi.org/10.1155/2008/872190

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