Sums of convex compacta as attractors of hyperbolic IFS's

DOI10.12775/TMNA.2019.097zbMath1459.28006OpenAlexW2996813085MaRDI QIDQ2229208

Valeriu Guţu

Publication date: 22 February 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1577588436

zbMATH Keywords

attractoriterated function systemconvex setPythagoras tree

Mathematics Subject Classification ID

Fractals (28A80) Iteration of real functions in one variable (26A18)

Cites Work

• Attractors for iterated function systems
• Attractors for iterated function schemes on \([0, 1^N\) are exceptional]
• An \(n\)-cell in \(\mathbb{R}^{n+1}\) that is not the attractor of any IFS on \(\mathbb{R}^{n+1}\)
• On attractors of multivalued semi-flows and differential inclusions
• Non-self-similar sets in \([0,1^{N}\) of arbitrary dimension]
• A class of continua that are not attractors of any IFS
• On the continuity of the Hutchinson operator
• Attractors for classes of iterated function systems
• IFS attractors and Cantor sets
• Multi-valued contraction mappings
• On the structure of self-similar sets
• Attractors of Iterated Function Systems
• Drei Sätze über die n-dimensionale euklidische Sphäre
• A 1-dimensional Peano continuum which is not an IFS attractor
• Topological Fixed Point Theory of Multivalued Mappings
• Convex Analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sums of convex compacta as attractors of hyperbolic IFS's