On P-contractions in ordered metric spaces

Abstract

In this paper, we introduced a new type of a contractive condition defined on an ordered space, namely a P-contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces. A supporting example of our results is provided in the last part of our paper as well. © 2012 Chaipunya et al.; licensee Springer.