Abstract and Applied Analysis
Volume 2008 (2008), Article ID 672618, 13 pages
doi:10.1155/2008/672618
Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras
Fridoun Moradlou1
, Hamid Vaezi1
and Choonkil Park3
1Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
3Department of Mathematics, Hanyang University, Seoul 133-791, South Korea
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=1nf(z−xi)=−(1/n)∑1≤i<j≤nf(xi+xj)+nf(z−(1/n2)∑i=1nxi).