Countable contraction mappings in metric spaces: invariant sets and measure

DOI10.2478/S11533-013-0371-0zbMath1286.28007arXiv1307.1090OpenAlexW2028435105MaRDI QIDQ2440586

M. F. Barrozo, Ursula M. Molter

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1090

zbMATH Keywords

invariant setinvariant measurecountable iterated function systemcontraction maps

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (1)

A projection-valued measure for a countable iterated function system

Cites Work

• The existence of the attractor of countable iterated function systems
• Remarks on limit sets of infinite iterated function systems
• Random Recursive Constructions: Asymptotic Geometric and Topological Properties
• Self-Similar Sets. I. Topological MARKOV Chains and Mixed Self-Similar Sets
• Iterated function systems and the global construction of fractals
• Dimensions and Measures in Infinite Iterated Function Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Countable contraction mappings in metric spaces: invariant sets and measure