Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 872190, 11 pages
Stability of the Cauchy-Jensen Functional Equation in -Algebras: A Fixed Point Approach
1Department of Mathematics, Hanyang University, Seoul 133-791, South Korea
2Department of Mathematics Education, Pusan National University, Pusan 609-735, South Korea
Received 3 April 2008; Accepted 14 May 2008
Academic Editor: Andrzej Szulkin
Copyright © 2008 Choonkil Park and Jong Su An. 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.
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).