A Note on the Unique Solution of the Integral Equations in the Framework of Fixed Point Theorem on Partially Ordered Metric Space

Youhua Qian^1, , Juan Wu¹ and Yafei Zhang¹

¹College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua, Zhejiang, China

Cite this paper:
Youhua Qian, Juan Wu and Yafei Zhang. A Note on the Unique Solution of the Integral Equations in the Framework of Fixed Point Theorem on Partially Ordered Metric Space. American Journal of Applied Mathematics and Statistics. 2016; 4(5):154-160. doi: 10.12691/ajams-4-5-3

Abstract

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.

Keywords:
coupled integral equations fixed point theorems partially ordered metric spaces

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