Common fixed point Theorems for Interpolative Mapping in Bicomplex-valued b-Metric Space with An application to Non-linear matrix Equation

Abstract This manuscript plans to prove a common fixed point theorem for interpolative contraction mapping in Bicomplex-valued b-metric spaces. our results generalize and extend several works in literature. We provide an example for verification of our results. To demonstrate the effectiveness of our main result, we give an application to non-linear matrix equations.