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2008 Fixed Points and Stability of an Additive Functional Equation of n -Apollonius Type in C -Algebras
Fridoun Moradlou, Hamid Vaezi, Choonkil Park
Abstr. Appl. Anal. 2008: 1-13 (2008). DOI: 10.1155/2008/672618

Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of C -algebra homomorphisms and of generalized derivations on C -algebras for the following functional equation of Apollonius type i = 1 n f ( z x i ) = ( 1 / n ) 1 i < j n f ( x i + x j ) + n f ( z ( 1 / n 2 ) i = 1 n x i ) .

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Fridoun Moradlou. Hamid Vaezi. Choonkil Park. "Fixed Points and Stability of an Additive Functional Equation of n -Apollonius Type in C -Algebras." Abstr. Appl. Anal. 2008 1 - 13, 2008. https://doi.org/10.1155/2008/672618

Information

Published: 2008
First available in Project Euclid: 10 February 2009

zbMATH: 1159.47032
MathSciNet: MR2439255
Digital Object Identifier: 10.1155/2008/672618

Rights: Copyright © 2008 Hindawi

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