A coupled coincidence and coupled common fixed point theorem in complete quasi - b- metric spaces

Abstract

The purpose of this study was to establish the existence of coupled coincidence and existence and uniqueness of coupled common fixed point theorem in partially ordered complete quasi-bmetric spaces. In this study analytical design has been employed and secondary sources of data such as Journals, Internet etc were used. The procedure that we followed was the standard procedures used in the published work of Bota et al. and Lakshmikantham and Ciric. We proved our established theorem for the existence of coupled coincidence point and existence and uniqueness of coupled common fixed point in the setting of partially ordered quasi-b-metric spaces and we also provided examples in support of our main result. Our work extended coupled fixed point to coupled common fixed point result.