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Abstract

Recent researches in the development of metric space to V-fuzzy metric spaces encouraged us to write this paper. In this paper, we have defined a new contraction called V-ψ-fuzzy contraction in a V-fuzzy metric space (V, M, *) endowed with a graph. Here, we have extended the Banach Contraction Principle on V-fuzzy metric spaces in association with graph. Also, we have explained the characteristic of Graph as of partial ordering, which provides a way to find fixed point for n-tuples of a V-fuzzy metric space and an important application in the field of computer science.

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Some new fixed point results on V - ψ -fuzzy contraction endowed with graph

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