A Characterization of Multi-Mixed Additive-Quadratic Mappings and a Fixed Point Application

摘要

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.