  The intention of this article is to introduce a generalization of
Proinov-type contraction via simulation functions. We name this generalized
contraction map as Proinov-type Z-contraction. This article establishes the
existence and uniqueness of fixed points for these contraction mappings in
quasi-metric space and also, include explanatory examples with graphical
interpretation. As an application, we generate a new iterated function system
(IFS) consisting of Proinov-type Z-contractions in quasi-metric spaces. At the
end of the paper, we prove the existence of a unique attractor for the IFS
consisting of Proinov-type Z-contractions.
