Diameter diminishing to zero IFSs

DOI10.1007/s00605-021-01634-5zbMath1483.28008arXiv2101.12705OpenAlexW3201933546MaRDI QIDQ2665282

Alexandru Mihail, Radu Miculescu

Publication date: 18 November 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.12705

zbMATH Keywords

iterated function system (IFS)(Hyperbolic)\(\varphi\)-contractive IFS(Hyperbolic)diameter diminishing to zero IFS(Hyperbolic)locally uniformly point fibred IFS(Hyperbolic)uniformly point fibred IFSIFS having (hyperbolic)attractor

Mathematics Subject Classification ID

Fractals (28A80)

Related Items

Interpolation type iterated function systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a question of A. Kameyama concerning self-similar metrics
• On attractors of iterated function systems in uniform spaces
• Remetrization results for possibly infinite self-similar systems
• Contractive function systems, their attractors and metrization
• Semigroups satisfying P-condition and topological self-similar sets
• A generalization for a finite family of functions of the converse of Browder's fixed point theorem
• Power domains and iterated function systems
• Real projective iterated function systems
• Alternative characterization of hyperbolic affine infinite iterated function systems
• A sufficient condition for a finite family of continuous functions to be transformed into ψ-contractions
• A Topological Version of Iterated Function Systems
• A Characterization of Hyperbolic Affine Iterated Function Systems
• A generalization of Istrățescu’s fixed point theorem for convex contractions
• Möbius iterated function systems
• Attractors of Infinite Iterated Function Systems Containing Con
• Distances on topological self-similar sets and the kneading determinants