Abstract

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.

中文翻译：

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多混合加二次映射的刻画和不动点应用

摘要

在本文中，我们介绍了\（n \）-变量映射，在每个变量中它们都是加法二次混合的。我们证明了这种映射可以通过方程来描述，即通过多重混合的加二次函数方程来描述。主要目标是扩展定点方法的应用，以建立多重混合加法-二次映射的Hyers-Ulam稳定性。