Fixed Points and Stability of an Additive Functional Equation of n-Apollonius Type in C∗-Algebras. (17th July 2008)

• Record Type: Journal Article
• Authors: Moradlou, Fridoun; Vaezi, Hamid; Park, Choonkil
• Other Names: Rassias John Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2008(2008)
• Publication Date: 2008-07-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2008/672618
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : Using the fixed point method, we prove the generalized Hyers-Ulam stability ofC ∗ -algebra homomorphisms and of generalized derivations onC ∗ -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 ) .