A Topological Version of Iterated Function Systems
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Publication:2919605
DOI10.2478/V10157-011-0044-XzbMath1265.28023OpenAlexW1975458381MaRDI QIDQ2919605
Publication date: 4 October 2012
Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/v10157-011-0044-x
Related Items (16)
Contractive affine generalized iterated function systems which are topologically contracting ⋮ Algorithms generating images of attractors of generalized iterated function systems ⋮ Diameter diminishing to zero IFSs ⋮ Embedding topological fractals in universal spaces ⋮ Stability of multivalued attractor ⋮ Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems ⋮ Dendrite-type attractors of IFSs formed by two injective functions ⋮ On generalized iterated function systems defined on \(\ell_{\infty}\)-sum of a metric space ⋮ On attractors of iterated function systems in uniform spaces ⋮ Counterexamples for IFS-attractors ⋮ On the existence of the Hutchinson measure for generalized iterated function systems ⋮ Topological version of generalized (infinite) iterated function systems ⋮ On a typical compact set as the attractor of generalized iterated function systems of infinite order ⋮ Hardy-Rogers type iterated function systems ⋮ Weakly contractive iterated function systems and beyond: a manual ⋮ A Nadler type result for iterated multifunction systems
Cites Work
- Applications of fixed point theorems in the theory of generalized IFS
- Generalized IFSs on noncompact spaces
- Multivalued fractals
- Lipscomb's space $\omega^{A}$ is the attractor of an infinite IFS containing affine transformations of $l^{2}(A)$
- Distances on topological self-similar sets and the kneading determinants
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