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unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract. Common coupled fixed point theorems for a pair of generalised T-contraction mappings are proved in a rectangular b-metric space which generalize and improve some recent results due to Ramesh and Pitchamani [13] and Gu [2] and some references there in. We have given an application of our main result in establishing the existence and convergence of solution of a system of non linear integral equations under some weaker conditions, which has been properly verified using suitable example.

Common coupled fixed points of some generalised T-contractions in rectangular b-metric space and application