On Weakly ( C , ψ , ϕ ) -Contractive Mappings in Ordered Partial Metric Spaces

Abstract

We introduce the notion of weakly $(C,\psi ,\varphi )$-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.