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Fixed points in fuzzy theory plays a very significant task in the field of mathematical and computer sciences. This theory has numerous applications in the area of communication and technology, computer science and information security and many others. Many researchers established the results of point for an assortment of mappings in different metric spaces. In present paper, our aim is to establish a common fixed point theorem satisfying generalized contraction in FMS. We also bestow an application for integral type contraction.