Generalized Suzuki type α-Z-contraction in b-metric space

Abstract

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. Padcharoen, P. Kumam, P. Saipara, P. Chaipunya, Kragujevac J. Math., 42 (2018), 419–430].