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2009 Functional Equations Related to Inner Product Spaces
Choonkil Park, Won-Gil Park, Abbas Najati
Abstr. Appl. Anal. 2009: 1-11 (2009). DOI: 10.1155/2009/907121

Abstract

Let V,W be real vector spaces. It is shown that an odd mapping f:VW satisfies i12nf(xi1/2nj=12nxj)=i=12nf(xi)2nf(1/2ni=12nxi) for all x1,,x2nV if and only if the odd mapping f:VW is Cauchy additive. Furthermore, we prove the generalized Hyers-Ulam stability of the above functional equation in real Banach spaces.

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Choonkil Park. Won-Gil Park. Abbas Najati. "Functional Equations Related to Inner Product Spaces." Abstr. Appl. Anal. 2009 1 - 11, 2009. https://doi.org/10.1155/2009/907121

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1177.39041
MathSciNet: MR2521128
Digital Object Identifier: 10.1155/2009/907121

Rights: Copyright © 2009 Hindawi

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