Stability of Functional Inequalities with Cauchy‐Jensen Additive Mappings

Young-Sun Cho and Hark-Mahn Kim

Abstract and Applied Analysis, 2007, vol. 2007, issue 1

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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https://doi.org/10.1155/2007/89180

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:089180

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