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The aim of this paper is to prove some common fixed point theorems using the property E.A. in the setting of G-metric and Fuzzy metric spaces by taking a set of three conditions for self mappings. Here the notion of semi compatibility and occasionally compatibility is used to replace the assumption of continuity and completeness of space.  Our result generalizes the result of Tanmony Som [20], Mujahid Abbas [9] and R. Rana [15].