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Fuzzy logic is a new scientific field which is employed in mathematics, computer science and engineering. Fuzzy logic calculates the extent to which a proposition is correct and allows computer to manipulate the information. In this paper, our objective is to prove fixed point results in the setting of $ G_{b}$ metric space and generalized fuzzy metric space. To prove the result notion of E.A property, weakly compatible property and contractive type condition has been utilized. Our results extends and generalizes the results of many other authors existing in the literature.