Interpolative Hardy-Rogers-Type Proximal Z-Contraction Maps in b-Metric Spaces with Some Applications

Several known types of contractions involving the combination of d(fx, fy) and d(x, y) are unified by the simulation function and the concept of Z-contraction concerns ζ, which generalizes the Banach contraction principle. Our findings build upon or generalize a number of findings in the literature. In this study, we develop interpolative Hardy-Rogers-type proximal Z-contraction maps and demonstrate the existence and uniqueness of the best proximity points in complete b-metric spaces. We illustrate our findings with examples. We provide some pertinent applications.