On a new integral type contraction and coupled fixed point theorems in metric spaces with applications to system of integral equations

Rasouli, S.H.; Alzwaihm, Azzam Azeez; Babakhani, A.

doi:10.22080/cjms.2025.29670.1768

On a new integral type contraction and coupled fixed point theorems in metric spaces with applications to system of integral equations

Document Type : Research Articles

Authors

¹ Babol Noshirvani University of Technology

² Department of Mathematics, Faculty of Basic Sciences, Babol Noshirnani University of Technology, Shariati Avenue,P. O. Box 484, Babol, Iran

10.22080/cjms.2025.29670.1768

Abstract

This paper introduces a new type of integral contraction in metric spaces and establish coupled fixed point theorems under this new contraction condition. The presented results generalize and extend several existing theorems in the literature, particularly those involving integral-type contractions. We demonstrate the applicability of our results by providing an example and outlining potential applications in solving systems of integral equations.

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