A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation

被引：13

作者：

Bae, Jae-Hyeong ^{[2
]}

Park, Won-Gil ^{[1
]}

机构：

[1] Mokwon Univ, Coll Educ, Dept Math Educ, Taejon 302729, South Korea

[2] Kyung Hee Univ, Grad Sch Educ, Yongin 446701, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2012年

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1155/2012/205160

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its uniqueness. In the last section of this paper, we treat a fixed point approach to the stability of the Cauchy-Jensen functional equation.

引用

页数：10

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