Topological version of generalized (infinite) iterated function systems
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Publication:728300
DOI10.1016/J.CHAOS.2014.12.005zbMath1352.37049OpenAlexW2040552014MaRDI QIDQ728300
Dan Dumitru, Filip Strobin, Loredana Ioana, Răzvan-Cornel Sfetcu
Publication date: 20 December 2016
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2014.12.005
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractals (28A80) Continua theory in dynamics (37B45)
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Cites Work
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- The existence of the attractor of countable iterated function systems
- Attractors of generalized IFSs that are not attractors of IFSs
- On a question of A. Kameyama concerning self-similar metrics
- Generalized iterated function systems with place dependent probabilities
- The shark teeth is a topological IFS-attractor
- Contractive function systems, their attractors and metrization
- Topological contractive systems
- Applications of fixed point theorems in the theory of generalized IFS
- Generalized IFSs on noncompact spaces
- Power domains and iterated function systems
- Generalized iterated function systems on the space \(l^\infty(X)\)
- Invariant measure associated with a generalized countable iterated function system
- A code space for a generalized IFS
- A Topological Version of Iterated Function Systems
- A Note on Contractive Mappings
- On the structure of self-similar sets
- On Fixed and Periodic Points Under Contractive Mappings
- Generalized countable iterated function systems
- ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
- The Hutchinson-Barnsley theory for infinite iterated function systems
- Distances on topological self-similar sets and the kneading determinants
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