Characterization and stability analysis of advanced multi-quadratic functional equations

被引：9
|
作者：
Bodaghi, Abasalt [1 ]
Moshtagh, Hossein [2 ]
Dutta, Hemen [3 ]
机构：
[1] Islamic Azad Univ, Garmsar Branch, Dept Math, Garmsar, Iran
[2] Univ Garmsar, Dept Comp Sci, Garmsar, Iran
[3] Gauhati Univ, Dept Math, Gauhati 781014, Assam, India
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Multi-quadratic mapping; Multi-quadratic functional equation; Hyers-Ulam stability; Fixed point; MAPPINGS; APPROXIMATION;
D O I：
10.1186/s13662-021-03541-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new quadratic functional equation and, motivated by this equation, we investigate n-variables mappings which are quadratic in each variable. We show that such mappings can be unified as an equation, namely, multi-quadratic functional equation. We also apply a fixed point technique to study the stability for the multi-quadratic functional equations. Furthermore, we present an example and a few corollaries corresponding to the stability and hyperstability outcomes.
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页数：15
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