Abstract
In this work, we initiate the notions of dislocated- $A_{b}$ -quasi-metric and $A_{b}$ -quasi-metric-like spaces. Then we establish the existence of a common fixed point of weakly compatible mappings satisfying a contractive condition on a closed neighborhood of dislocated $A_{b}$ -quasi-metric spaces. Some examples are given to show that these spaces are more general than various known comparable metric spaces. Our result unify, complement, and generalize various known results in the literature.
Highlights
1 Introduction and preliminaries In software engineering, algorithms are designed by means of recursive denotational specifications
The running time and the memory space of computing such algorithms are two important factors that determine the efficiency of the software
The aim of this paper is to introduce a notion of generalized partial metric spaces called dislocated Ab-quasi-metric spaces
Summary
Introduction and preliminariesIn software engineering, algorithms are designed by means of recursive denotational specifications. We obtain common fixed point results of weakly compatible mappings satisfying local contractive condition in such spaces. The pair (X, Ab) is called a dislocated Ab-quasi-metric space with coefficient s. Let (X, Ab) be a dislocated Ab-quasi-metric space with coefficient s ≥ .
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