Functional inequalities for generalized multi-quadratic mappings

被引：16

作者：

Bodaghi, Abasalt ^{[1
]}

机构：

[1] Islamic Azad Univ, Garmsar Branch, Dept Math, Garmsar, Iran

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2021年 / 2021卷 / 01期

关键词：

Banach space; (Generalized) Hyers-Ulam stability; Generalized multi-quadratic mapping; Fixed point method; FIXED-POINT APPROACH; ULAM STABILITY; HYERS; EQUATION;

D O I：

10.1186/s13660-021-02682-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we introduce some special several variables mappings which are quadratic in each variable and show that such mappings can be defined as a single equation that is the generalized multi-quadratic functional equation. We also apply a fixed point theorem to establish the Hyers-Ulam stability for the generalized multi-quadratic functional equations. Furthermore, we present an example and a few corollaries corresponding to some known stability results.

引用

页数：13

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