Common Fixed Point Results for α-ψ-Locally Contractive Type Mappings in Right Complete Dislocated Quasi G-Metric Spaces

Abstract

We have introduced theconcepts of right complete dislocated quasi $G_{d}$-metric spaces,$G$-$\alpha $-admissible mapping with respect to $\eta $ and $\alpha$-$\psi $ contractive type condition for a pair of such maps andhave established common fixed point results in a closed ball inright complete dislocated quasi $G_{d}$-metric spaces. An example isalso given which illustrate the superiority of our results. In theprocess we have generalized several well known, recent and classicalresults from the literature.