On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability

被引：26

作者：

Bahyrycz, Anna ^{[1
]}

Cieplinski, Krzysztof ^{[2
]}

Olko, Jolanta ^{[2
]}

机构：

[1] Pedag Univ, Inst Math, PL-30084 Krakow, Poland

[2] AGH Univ Sci & Technol, Fac Appl Math, PL-30059 Krakow, Poland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 265卷

关键词：

Hyers-Ulam stability; Multi-additive-quadratic mapping; Fixed point method; FIXED-POINT;

D O I：

10.1016/j.amc.2015.05.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we unify the system of functional equations defining a multi-additive-quadratic mapping to obtain a single equation. We also prove, using the fixed point method, the generalized Hyers-Ulam stability of this equation thus generalizing some known results. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：448 / 455

页数：8

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