Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 595439, 12 pages
doi:10.1155/2009/595439
Research Article

Stability of Homomorphisms and Generalized Derivations on Banach Algebras

Abbas Najati1 and Choonkil Park2

1Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil 56199-11367, Iran
2Department of Mathematics, Hanyang University, Seoul 133-791, South Korea

Received 14 June 2009; Accepted 18 November 2009

Academic Editor: Sin-Ei Takahasi

Copyright © 2009 Abbas Najati and Choonkil Park. 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.

Abstract

We prove the generalized Hyers-Ulam stability of homomorphisms and generalized derivations associated to the following functional equation f(2x+y)+f(x+2y)=f(3x)+f(3y) on Banach algebras.