Abstract and Applied Analysis
Volume 2007 (2007), Article ID 89180, 13 pages
doi:10.1155/2007/89180

Stability of functional inequalities with Cauchy-Jensen additive mappings

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.