eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2016-10-27
4
5
154
160
10.12691/ajams-4-5-3
AJAMS2016453
article
A Note on the Unique Solution of the Integral Equations in the Framework of Fixed Point Theorem on Partially Ordered Metric Space
Youhua Qian
qyh2004@zjnu.edu.cn
1
Juan Wu
1
Yafei Zhang
1
College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, China
In this paper, we obtained the unique solution of the integral and coupled integral equation in the framework of fixed point theorem on partially ordered metric space. Our results unified some methods in studying the existence of unique solution for the integral equation. Moreover, all results are much more brief. In addition, the examples are given to illustrate the usability of the obtained results.
http://pubs.sciepub.com/ajams/4/5/3/ajams-4-5-3.pdf
coupled integral equations
fixed point theorems
partially ordered metric spaces