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A fixed point technique for investigating the stability of \((\alpha, \beta, \gamma)\)-derivations on Lie \(C^\ast\)-algebras. (English) Zbl 1261.39032
The Banach fixed point theorem is used to study the stability of a generalized Cauchy-Jensen type additive functional equation on \(C^*\)-algebras.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
46L57 Derivations, dissipations and positive semigroups in \(C^*\)-algebras
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