Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces via Implicit Relation

Abstract

We prove a coupled coincidence point theorem for mappings F : $X\times X\to X$ and g : $X\to X$, where F has the mixed g-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.