Abstract and Applied Analysis
Volume 2007 (2007), Article ID 89180, 13 pages
doi:10.1155/2007/89180
Research Article
Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings
Department of Mathematics, Chungnam National University, Daejeon 305-764, South Korea
Received 19 March 2007; Accepted 4 April 2007
Academic Editor: Stephen L. Clark
Copyright © 2007 Young-Sun Cho and Hark-Mahn Kim. 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 generalized Hyers-Ulam stability of the functional inequalities associated with Cauchy-Jensen additive mappings. As a result, we obtain that if a mapping satisfies the functional inequalities with perturbation which satisfies certain conditions, then there exists a Cauchy-Jensen additive mapping near the mapping.