Generalized IFSs on noncompact spaces
From MaRDI portal
Publication:963600
DOI10.1155/2010/584215zbMath1197.54067OpenAlexW2091684791WikidataQ59250436 ScholiaQ59250436MaRDI QIDQ963600
Radu Miculescu, Alexandru Mihail
Publication date: 13 April 2010
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/223919
Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Fractals (28A80)
Related Items (35)
The canonical projection associated with certain possibly infinite generalized iterated function systems as a fixed point ⋮ Contractive affine generalized iterated function systems which are topologically contracting ⋮ The canonical projection between the shift space of an IIFS and its attractor as a fixed point ⋮ Reich-type iterated function systems ⋮ On the geometric ergodicity for a generalized IFS with probabilities ⋮ Algorithms generating images of attractors of generalized iterated function systems ⋮ A Topological Version of Iterated Function Systems ⋮ A new algorithm that generates the image of the attractor of a generalized iterated function system ⋮ Some connections between the attractors of an IIFS \(\mathcal S\) and the attractors of the sub-IFSs of \(\mathcal S\) ⋮ Generalized \(F\)-iterated function systems on product of metric spaces ⋮ An application of Edelstein's contraction principle: the attractor of a graph-directed generalized iterated function system ⋮ Iterated function systems consisting of \(F\)-contractions ⋮ Iterated function systems consisting of generalized convex contractions in the framework of complete strong \(b\)-metric spaces ⋮ Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable ⋮ Continuous global optimization on fractals through \(\alpha\)-dense curves ⋮ Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems ⋮ PARAMETRIC ITERATIVE FUNCTION SYSTEM FOR THE CONTINUUM GROWTH: CANTOR SET CASE ⋮ On the fractal interpolation functions associated with Matkowski contractions ⋮ Fuzzy attractors appearing from GIFZS ⋮ On generalized iterated function systems defined on \(\ell_{\infty}\)-sum of a metric space ⋮ A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS ⋮ Attractors of generalized IFSs that are not attractors of IFSs ⋮ Generalized iterated function systems with place dependent probabilities ⋮ A multiresolution algorithm to generate images of generalized fuzzy fractal attractors ⋮ Type \(\mathcal{A}\) sets and the attractors of infinite iterated function systems ⋮ On the existence of the Hutchinson measure for generalized iterated function systems ⋮ Separation properties of \((n,m)\)-IFS attractors ⋮ Generalized iterated function systems on the space \(l^\infty(X)\) ⋮ Topological version of generalized (infinite) iterated function systems ⋮ On a typical compact set as the attractor of generalized iterated function systems of infinite order ⋮ New aspects concerning IFSs consisting of continuous functions satisfying Banach's orbital condition ⋮ Weakly contractive iterated function systems and beyond: a manual ⋮ On hyperbolic affine generalized infinite iterated function systems ⋮ Cyclic iterated function systems ⋮ Cyclic Meir-Keeler Contraction and Its Fractals
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Further studies of bifurcations and chaotic orbits generated by iterated function systems.
- Chaotic orbits and bifurcation from a fixed point generated by an iterated function system
- Iterated function systems arising from recursive estimation problems
- Chaotic attractors generated by iterated function systems: `harmonic decompositions' and the onset of chaos
- Iterated function systems and the two-slit experiment of quantum mechanics
- Multivalued fractals
- Fractal steady states in stochastic optimal control models
- From quantum entropy to iterated function systems
- SOLVING THE INVERSE PROBLEM FOR FUNCTION/IMAGE APPROXIMATION USING ITERATED FUNCTION SYSTEMS I: THEORETICAL BASIS
- On natural invariant measures on generalised iterated function systems
- Lipscomb's space $\omega^{A}$ is the attractor of an infinite IFS containing affine transformations of $l^{2}(A)$
- The Hutchinson-Barnsley theory for infinite iterated function systems
- Infinite Iterated Function Systems: A Multivalued Approach
This page was built for publication: Generalized IFSs on noncompact spaces
