Coupled coincidence point and coupled common fixed point theorems in partially ordered metric spaces with ω-distance

Abstract

We introduce the concept of a w -compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered metric spaces equipped with w -distances. Related coupled common fixed point theorems for such mappings are also proved. Our results generalize, extend, and unify several well-known comparable results in the literature. Copyright 2010 Mujahid Abbas et al.