Copyright © 2010 Mujahid Abbas et al. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We introduce the concept of a -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 -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.