Hyperstability of a quadratic functional equation on abelian group and inner product spaces

被引：3

作者：

El-Fassi, Iz-Iddine ^{[1
]}

Kim, Gwang Hui ^{[2
]}

机构：

[1] Univ Ibn Tofail, Fac Sci, Dept Math, Kenitra, Morocco

[2] Kangnam Univ, Dept Math, Yongin 446702, Gyoenggi, South Korea

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 09期

基金：

新加坡国家研究基金会;

关键词：

Hyperstability; quadratic functional equation; fixed point theorem; ULAM-RASSIAS STABILITY; FIXED-POINT APPROACH; BANACH-SPACES; MAPPINGS;

D O I：

10.22436/jnsa.009.09.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the fixed point approach, we prove some results on hyperstability of the following quadratic functional equation f(x + y + z) + f(x - y) + f(x - z) + f(y - z) = 3[f(x) + f(y) + f(z)], in the class of functions from an abelian group into a Banach space. (C) 2016 All rights reserved.

引用

页码：5353 / 5361

页数：9

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