A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Bae Jae-Hyeong¹,Park Won-Gil²

Affiliation:

1. Graduate School of Education, Kyung Hee University, Yongin 446-701, Republic of Korea

2. Department of Mathematics Education, College of Education, Mokwon University, Daejeon 302-729, Republic of Korea

Abstract

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.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/205160.pdf

Reference11 articles.

1. On the Stability of the Linear Functional Equation

2. Applications of fixed point theorems to the Hyers-Ulam stability‎ ‎of functional equations–a survey

3. Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis

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