Another characterization of hyperbolic diameter diminishing to zero IFSs

DOI10.37193/CJM.2021.02.08zbMath1488.28015OpenAlexW3174859791WikidataQ113999555 ScholiaQ113999555MaRDI QIDQ3384571

Alexandru Mihail, Cristina Maria Pacurar, Radu Miculescu

Publication date: 15 December 2021

Published in: Carpathian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37193/cjm.2021.02.08

zbMATH Keywords

Picard operatoriterated function system (IFS)(hyperbolic) \(\varphi\)-contractive IFS(hyperbolic) diameter diminishing to zero IFS(hyperbolic) locally uniformly point fibred IFS(hyperbolic) uniformly point fibred IFS\(H_{\mathcal{S}}\) operatorIFS having (hyperbolic) attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80)