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In our paper we prove common fixed point theorem on the basis of control functions in FM-spaces. Using the fuzzy edition of the Banach Contraction Principle, the present theorem generalized the Banach Contraction Principle using the continuous control function. Condition of continuity for mappings and
is not required. Our results generalize the accumulation of compact subsets of
where the assemblage
itself is a FM-space. Here, we prove the result for two pairs of single-valued and set-valued owc mappings. Also, we give example to justify our result.