Quadratic Type Generalozed Z-Contraction with Respect to a Simulation Function and Common Fixed-Point Theorem

In this paper, we introduce quadratic type generalized Z-contraction with respect to a simulation function and study the existence of common fixed points of such mappings in complete b- metric spaces. We extend it to a se- quence of self maps. We infer some corollaries from our main result and provide examples to verify our results.