Abstract

The aim of this paper is to present the ideas of right complete dislocated quasi $\mathcal{G}-$ fuzzy metric spaces and find the common fixed point results for mapping satisfying the $\alpha - \psi$ locally contractive mappings for a couple of such maps in a closed ball in right complete dislocated quasi $\mathcal{G}-$ fuzzy metric spaces. An example is likewise given which outline the predominance of our outcomes.

Keywords and Phrases

Common fixed point, right complete quasi $\mathcal{G}-$ fuzzy metric spaces, $\alpha -\psi$ contractive mappings, $\mathcal{G}-\alpha-$ admissible mapping with respect to $\eta$.

A.M.S. subject classification

47H10, 54A40.

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