Coupled fixed point results on orthogonal metric spaces with application to nonlinear integral equations

Abstract

In this article, we prove some well-known coupled fixed point theorems in 0-complete metric spaces. Also, we present some corollaries related to our study. In addition to these, we give an example where our results successfully obtained the existence and uniqueness of the coupled fixed point, which cannot be applied to demonstrate in complete metric spaces. Finally, we apply our results to examine the existence and uniqueness of a solution of the system of nonlinear integral equations.