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In this paper, the contractive mapping on intuitionistic fuzzy graph metric space is discussed and the concepts of Lipschitz condition, ߳ −chain, contractive mapping, ߳ −contractive mapping on intuitionistic fuzzy graph metric space are studied. Theorems related to the above concepts are stated and proved.doi:10.22457/apam.v17n1a7 fatcat:l7bywsdy55cfdnbcyz3x3z35gy