Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings
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Abstract and Applied Analysis

Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings

Young-Sun Cho and Hark-Mahn Kim

Source: Abstr. Appl. Anal. Volume 2007 (2007), 13 pages.

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.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1183666876
Digital Object Identifier: doi:10.1155/2007/89180
Mathematical Reviews number (MathSciNet): MR2320798


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