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Zbl 1167.39018
Park, Choonkil
(Park, Chun-Gil; Baak, Choonkil)
Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras. (English)
[J] Fixed Point Theory Appl. 2007, Article ID 50175, 15 p. (2007). ISSN 1687-1812/e

The author, using the fixed point method, proves the Hyers-Ulam-Rassias stability of homomorphisms and of generalized derivations in real Banach algebras for a Cauchy-Jensen type functional equation.
[Paşc Găvruţă (Timişoara)]
MSC 2000:
*39B82 Stability, separation, extension, and related topics
39B52 Functional equations for functions with more general domains

Keywords: Hyers-Ulam-Rassias stability; fixed point method; homomorphisms; generalized derivations; Banach algebras; Cauchy-Jensen type

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