Coincidence Point Results for Self-Mapping With Extended Rational Contraction in Partially Ordered Ultrametric Spaces Using p-Adic Distance

Abstract

This paper aims to investigate new coincidence point theorems for self-maps under an extended rational contraction. Our approach uses the p-adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a comprehensive numerical analysis. This study expands on prior research in partially ordered ultrametric spaces to provide a more comprehensive understanding of such spaces using rational contraction.