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Fixed points and Hyers–Ulam–Rassias stability of Cauchy–Jensen functional equations in Banach algebras. (English) Zbl 1167.39018
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.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
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