Abstract
The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.
Highlights
Introduction and PreliminariesThe concept of dislocated metric space was introduced by Hitzler [1] in an effort to generalize the well known Banach contraction principle
We show that T and g have coupled common fixed point
In 2018, Mohammed established the existence of coupled fixed point for mapping satisfying certain rational type contraction condition in a complete dislocated quasi metric space
Summary
The concept of dislocated metric space was introduced by Hitzler [1] in an effort to generalize the well known Banach contraction principle. Bhaskar and Lakshmikantham [5] introduced the concept of coupled fixed point for non-linear contractions in partially ordered metric spaces. Lakshmikantham and Ciric [6] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in a complete partially ordered metric space. This area of research has attracted the interest of many researchers and a number of works has been published in different spaces, see [7–10]. We have established and proved existence and uniqueness of coupled coincidence and coupled common fixed points for a pair of maps in the context of dislocated quasi metric spaces
Sign-in/Register to view highlights & summary 
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call