On Certain Common Coupled Fixed Points of Rational Contraction Mappings in Partial B-Metric Spaces and its Applications

Abstract

In this paper, we prove common coupled fixed point results for Jungck-type maps by using rational contraction conditions in partial-b-metric space. Our results generalize and expand some well-known results. We also explore some of the applications to integral equations as well as Homotopy. Also, we proved an example to support our result.