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

Autor:	Puthusseri, Athul, Kumar, D. Ramesh
Rok vydání:	2023
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: 26 pages,2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.05645 Zobrazit plný text záznamu View this record from Arxiv