Coupled Coincidence and Coupled Common Fixed Point Theorem Satisfying Certain Rational Type Contractive Condition in Dislocated Quasi Metric Space

Abstract

The purpose of this research is to establish the existence and uniqueness of a coupled coincidence and coupled common fixed point theorem involving pairs of weakly compatible mappings satisfying certain rational type contractive condition in the setting of dislocated quasi metric spaces. Our result extends and generalizes several well-known comparable results in literature. We also provided an example in support of our main result. In this research undertaking, we followed analytical design, secondary source of data such as published articles, related works browsed from internet etc. were used. The study procedure we used was that of Jhade and Khan, (2014) and Mohammed et al., (2018).