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

Abdullah Shoaib, Fahim Uddin, Arshad Muhammad, Muhammad Usman Ali

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.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|