Generalized Almost Simulative Z^Θ Ψ∗−Contraction Mappings in Modular b−Metric Spaces

Abstract

This article aims to characterize a new class of simulation functions by extending the class of $\mathcal{Z}$ functions demonstrated by Cho in \cite{ze}, and via this novel notion, to establish some common fixed point theorems in modular $b-$metric spaces. Furthermore, some corollaries, which enlarge previously existing literature, have been procured. In conclusion, an example and an application to the nonlinear integral equations have been presented to state the applicability and validity of our outcomes.