Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings

Young-Sun Cho and Hark-Mahn Kim

Abstract and Applied Analysis, 2007, vol. 2007, 1-13

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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:089180

DOI: 10.1155/2007/89180

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