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

Year 2023, Volume: 52 Issue: 3, 619 - 629, 30.05.2023

Kübra Özkan

https://doi.org/10.15672/hujms.1091097

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 this, we give an example showing that our results successfully obtain the existence and uniqueness of the coupled fixed point for 0-complete metric spaces, but the results are not valid for complete metric spaces. Finally, we apply our results to examine the existence and uniqueness of a solution of the system of nonlinear integral equations.

Keywords

orthogonal set, coupled fixed point, integral equations

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