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


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

Department of Mathematics, Hanyang University
Department of Mathematics Education, Pusan National University


© C. Park and J. S. An. 2008

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