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.