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The aim of this paper is to establish a unique common coupled fixed point theorem for two mappings satisfying a rational inequality in complex valued metric space.

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The aim of this paper is to prove a number of coupled fixed point theorems under ϕ-contractions for a mapping F : X × X → X in G-metric spaces. The given result is conversion of the result of Erdal Karapinar et al. [3] into G-metric space with coupled fixed point theorem. General Terms:54A05