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Matkowski contractions and Hyers-Ulam stability. (English) Zbl 1240.39059

Summary: We use the Matkowski’s fixed point theorem to obtain a new general result concerning the Hyers-Ulam stability of a functional equation in a single variable.

MSC:

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