Coincidence Theorems for Comparable Generalized Non Linear Contractions in Ordered Partial Metric Spaces

Abstract

Abstract. In this paper, we prove some coincidence point theorems involving ϕ-contraction in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.