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In this paper, we establish some coincidence point theorems of nonlinear rational contractions in a complete partially ordered metric space. Some consequences of the results are presented in terms of integral contractions and few examples are illustrated to support the results. As an application, we proved the existence of a unique solution to an integral equation.doi:10.52280/pujm.2022.540103 fatcat:gc6bc2ef3nffxc5myxnb3q2pqe