Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
4
5
2016
10
27
A Note on the Unique Solution of the Integral Equations in the Framework of Fixed Point Theorem on Partially Ordered Metric Space
154
160
EN
Youhua
Qian
College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, China
Juan
Wu
Yafei
Zhang
AJAMS2016453
10.12691/ajams-4-5-3
2016
5
10
2016
8
12
2016
10
25
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.