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.
"Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings." Abstr. Appl. Anal. 2007 1 - 13, 2007. https://doi.org/10.1155/2007/89180