Coupled coincidence point theorem in partially ordered metric spaces via implicit relation (Q448818)

Summary: We prove a coupled coincidence point theorem for mappings \(F : X \times X \rightarrow X\) and \(g : X \rightarrow X\), 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.