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A characterization of multi-mixed additive-quadratic mappings and a fixed point application. (English) Zbl 1451.39025

J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 4, 235-247 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 4, 31-46 (2020).
Summary: In this paper, we introduce \(n\)-variables mappings which are mixed additive-quadratic in each variable. We show that such mappings can be described by a equation, namely, by a multi-mixed additive-quadratic functional equation. The main goal is to extend the applications of a fixed point method to establish the Hyers-Ulam stability for the multi-mixed additive-quadratic mappings.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
47H10 Fixed-point theorems
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