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.
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页码：5353 / 5361
页数：9
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