## 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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