Coupled Meir–Keeler Type Contraction in Metric Spaces with an Application to Partial Metric Spaces

Abstract

In this paper, we prove a Meir–Keeler type coupled fixed point results in metric spaces. We make an application of our result to obtain a corresponding result in partial metric spaces. The latter are generalizations of metric spaces having a T 0-topology in general and admitting non-zero measures of self distances. It is only under special circumstances that the results obtained in metric spaces can be extended to partial metric spaces. Here, we show that the result we obtain in metric spaces can be applied to obtain similar fixed point result in partial metric spaces. Two illustrative examples are given one each for the metric spaces and partial metric spaces.