Coupled common fixed point theorems for w-compatible mappings in ordered cone metric spaces

Abstract

We establish coupled coincidence point results for mixed g-monotone mappings under general contractive conditions in partially ordered cone metric spaces over solid cones. We also present results on existence and uniqueness of coupled common fixed points. Our results generalize, extend and unify several well known comparable results in the literature. To illustrate our results and to distinguish them from the earlier ones, we equip the paper with examples. © 2011 Elsevier Inc. All rights reserved.