Open Access

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

Fixed Point Theory and Applications20082008:872190

DOI: 10.1155/2008/872190

Received: 18 May 2006

Accepted: 3 April 2008

Published: 14 May 2008

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’ Affiliations

(1)
Department of Mathematics, Hanyang University
(2)
Department of Mathematics Education, Pusan National University

Copyright

© C. Park and J. S. An. 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.