Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 740156, 13 pages
doi:10.1155/2010/740156
Research Article

Superstability of Generalized Derivations

Esmaeil Ansari-Piri and Ehsan Anjidani

Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, Iran

Received 23 February 2010; Accepted 15 April 2010

Academic Editor: Charles E. Chidume

Copyright © 2010 Esmaeil Ansari-Piri and Ehsan Anjidani. 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 investigate the superstability of the functional equation f(xy)=xf(y)+g(x)y, where f and g are the mappings on Banach algebra A. We have also proved the superstability of generalized derivations associated to the linear functional equation f(γx+βy)=γf(x)+βf(y), where γ,β∈ℂ.