Fixed Points and Stability of an Additive Functional Equation of ð ‘› -Apollonius Type in ð ¶ âˆ— -Algebras

Fridoun Moradlou, Hamid Vaezi and Choonkil Park

Abstract and Applied Analysis, 2008, vol. 2008, 1-13

Abstract:

Using the fixed point method, we prove the generalized Hyers-Ulam stability of ð ¶ âˆ— -algebra homomorphisms and of generalized derivations on ð ¶ âˆ— -algebras for the following functional equation of Apollonius type _ ð ‘› ð ‘– = 1 _ ð ‘“ ( 𠑧 _ ð ‘¥ ð ‘– ) = _ ( 1 / ð ‘› ) _ _ _ 1 _ ð ‘– < ð ‘— _ ð ‘› _ ð ‘“ ( ð ‘¥ ð ‘– + ð ‘¥ ð ‘— ) + ð ‘› ð ‘“ ( 𠑧 _ ( 1 / ð ‘› 2 ) _ ð ‘› ð ‘– = 1 _ ð ‘¥ ð ‘– ) .

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:672618

DOI: 10.1155/2008/672618

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