Coupled best proximity points of generalised Hardy-Rogers type cyclic (ω)-contraction mappings

Abstract

In this paper, we introduce generalized Hardy-Rogers type cyclic (ω)- contraction mappings which generalizes the cyclic, Kannan, Chatterjea and Reich contraction mappings. We establish the existence and uniqueness of coupled best proximity points of such mappings in the framework of b-metric space. Some examples are presented to support the results proved herein. Our results generalize and extend various comparable results in the existing literature. An application of our result to establish the existence of a solution of a differential equation is presented.