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Abstract Hausdorff metric on the intuitionistic fuzzy metric space was defined and the definition of F-contraction was generalized to the mapping in intuitionistic fuzzy metric space. On this basis, the common fixed point theorems for single-valued mappings and the existence of fixed points for multi-valued mappings in intuitionistic fuzzy metric spaces was studied. In this way, the fixed point theorem of single-valued mapping could be extended to the fixed point theorem of multi-valued mapping in this space.
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Received: 05 September 2022
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2022, Vol. 35 
