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2007 Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings
Young-Sun Cho, Hark-Mahn Kim
Abstr. Appl. Anal. 2007: 1-13 (2007). DOI: 10.1155/2007/89180


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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Young-Sun Cho. Hark-Mahn Kim. "Stability of Functional Inequalities with Cauchy-Jensen Additive Mappings." Abstr. Appl. Anal. 2007 1 - 13, 2007.


Published: 2007
First available in Project Euclid: 5 July 2007

zbMATH: 1149.39020
MathSciNet: MR2320798
Digital Object Identifier: 10.1155/2007/89180

Rights: Copyright © 2007 Hindawi

Vol.2007 • 2007
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