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

被引：3
作者：
Falihi, S. [1 ]
Bodaghi, A. [2 ]
Shojaee, B. [1 ]
机构：
[1] Islamic Azad Univ, Karaj Branch, Karaj, Iran
[2] Islamic Azad Univ, Garmsar Branch, Garmsar, Iran
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2020年 / 55卷 / 04期
关键词：
Banach space; generalized Hyers-Ulam stability; multi-mixed additive-quadratic mapping; fixed point method; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATION;
D O I：
10.3103/S1068362320040044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页码：235 / 247
页数：13
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