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The aim of this paper is to prove new common fixed point theorems on intuitionistic fuzzy metric spaces. Our main result, bring into play the concept of E.A. property, complete subspace and weakly compatible mappings. An example is furnished which demonstrates the validity of our main result. Efforts have also been invested to broaden our result on integral type’s contraction condition to identify unique fixed point of four self mappings on intuitionistic fuzzy metric space.