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