Coincidence Point Results for Nonlinear Contraction in Ordered Partial Metric Spaces

In this paper we extend coincidence point theorems obtained by W. Shatanawi et al. ([W. Shatanawi, Z. Mustafa and N. Tahat, Some coincidence point theorems for nonlinear contraction in ordered metric spaces, Fixed Point Theory and Appl. 2011, 2011:68.]) from the ordered metric space to ordered partial metric spaces. Using the new context, some coincidence point results of maps that satisfy the generalized (φ,ψ) - weak contractive conditions are obtained. Thus our results generalize, extend, unify, enrich and complement coincidence point theorems of contractive mappings in several aspect. Applications and examples are given to illustrate the usability of our results.