Stability of the Jensen-Type Functional Equation in ð ¶ âˆ— -Algebras: A Fixed Point Approach

Choonkil Park and John Michael Rassias

Abstract and Applied Analysis, 2009, vol. 2009, 1-17

Abstract:

Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in ð ¶ âˆ— -algebras and Lie ð ¶ âˆ— -algebras and also of derivations on ð ¶ âˆ— -algebras and Lie ð ¶ âˆ— -algebras for the Jensen-type functional equation ð ‘“ ( ( ð ‘¥ + 𠑦 ) / 2 ) + ð ‘“ ( ( ð ‘¥ − 𠑦 ) / 2 ) = ð ‘“ ( ð ‘¥ ) .

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:360432

DOI: 10.1155/2009/360432

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