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2009 The Stability of a Quadratic Functional Equation with the Fixed Point Alternative
Choonkil Park, Ji-Hye Kim
Abstr. Appl. Anal. 2009: 1-11 (2009). DOI: 10.1155/2009/907167

Abstract

Lee, An and Park introduced the quadraticfunctional equation f(2x+y)+f(2xy)=8f(x)+2f(y) and proved the stability of the quadratic functional equation in the spirit of Hyers, Ulam and Th. M. Rassias. Using the fixed point method, we prove the generalized Hyers-Ulam stability of the quadraticfunctional equation in Banach spaces.

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Choonkil Park. Ji-Hye Kim. "The Stability of a Quadratic Functional Equation with the Fixed Point Alternative." Abstr. Appl. Anal. 2009 1 - 11, 2009. https://doi.org/10.1155/2009/907167

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

zbMATH: 1189.39031
MathSciNet: MR2581136
Digital Object Identifier: 10.1155/2009/907167

Rights: Copyright © 2009 Hindawi

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