In this paper, we introduce the concept of generalized Suzuki type α-Z-contraction concerning a simulation function ζ in b-metric space and prove the existence of fixed point results for this contraction. Our result extend the fixed point result of [A.

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Results generalizing and unifying fixed point theorems of Edelstein, Fisher, Jungck, Matkowski, Rhoades, Seghal and others are obtained for four systems of maps on a finite product of compact metric spaces.

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