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The aim of the present research work is to investigate the solution of Urysohn integral equation by common fixed point result in the setting of complex valued <i>b</i>-metric space. To obtain the objective, we used a generalized rational contraction involving control functions and a pair of self-mappings. In this way, we generalize some well-known results of literature. Some non-trivial examples are also flourished to demonstrate the innovation of our principal result.