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Topological Dynamics and Continuum Theory

Dynamics/CT Session #2 #3

Subevent of Dynamics/CT Session #2

Central Time (US & Canada)

Starts at: 2025-08-12 09:30AM

Ends at: 2025-08-12 09:55AM

Generalized Proinov-type contractions using simulation functions with applications to fractals

Ramesh Kumar Devaraj ⟨rameshkumard14@gmail.com⟩

Abstract:

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.

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