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In this paper, using Wardowski technique, we mainly study fixed point theorem for pair of multi-valued mappings with distance satisfying generalized multi-valued contraction in complete metric spaces. Our main result extend the result of Wardowski (Fixed Point Theory and Applications 2012 (2012), Article Id 94), and generalize the result of Acar (Abstract and Applied Analysis, 2014 (2014), Article ID:497092, 5 pages).