A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces

被引：14

作者：

Kenary, Hassan Azadi ^{[2
]}

Jang, Sun Young ^{[3
]}

Park, Choonkil ^{[1
]}

机构：

[1] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea

[2] Univ Yasuj, Dept Math, Coll Sci, Yasuj 75914353, Iran

[3] Univ Ulsan, Dept Math, Ulsan 680749, South Korea

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

基金：

新加坡国家研究基金会;

关键词：

Hyers-Ulam stability; non-Archimedean normed space; random normed space; fuzzy normed space; fixed point method;

D O I：

10.1186/1687-1812-2011-67

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f(mx+ny)=(m+n)f(x+y)/2 + (m-n)f(x-y)/2 in non-Archimedean normed spaces and in random normed spaces, where m, n are different integers greater than 1. In this article, using fixed point method, we prove the Hyers-Ulam stability of the above functional equation in various normed spaces.

引用

页码：1 / 14

页数：14

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