Attractors of generalized IFSs that are not attractors of IFSs
From MaRDI portal
Publication:458305
DOI10.1016/j.jmaa.2014.08.029zbMath1359.37030OpenAlexW2013359037MaRDI QIDQ458305
Publication date: 7 October 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.029
Stability of topological dynamical systems (37B25) Iteration theory, iterative and composite equations (39B12) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
Related Items
The canonical projection associated with certain possibly infinite generalized iterated function systems as a fixed point ⋮ Fractal functions on the Sierpinski gasket ⋮ Contractive affine generalized iterated function systems which are topologically contracting ⋮ 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 new algorithm that generates the image of the attractor of a generalized iterated function system ⋮ The ergodic theorem for a new kind of attractor of a GIFS ⋮ An application of Edelstein's contraction principle: the attractor of a graph-directed generalized iterated function system ⋮ Non-stationary \(\phi\)-contractions and associated fractals ⋮ Semifractals from multifunctions on product spaces and generalized iterated function systems ⋮ The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ Iterated function systems consisting of generalized convex contractions in the framework of complete strong \(b\)-metric spaces ⋮ Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems ⋮ CONSTRUCTION OF NONLINEAR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR STABILITY ⋮ Comments on ``Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric ⋮ Nonlinear fractal interpolation curves with function vertical scaling factors ⋮ On the fractal interpolation functions associated with Matkowski contractions ⋮ NEW NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION SURFACES ⋮ Fuzzy attractors appearing from GIFZS ⋮ A new fixed point theorem in the fractal space ⋮ On the construction of recurrent fractal interpolation functions using Geraghty contractions ⋮ On generalized iterated function systems defined on \(\ell_{\infty}\)-sum of a metric space ⋮ New types of fractal interpolation surfaces ⋮ A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS ⋮ A multiresolution algorithm to generate images of generalized fuzzy fractal attractors ⋮ Fixed point theorems for nonlinear contractions with applications to iterated function systems ⋮ A new idea to construct the fractal interpolation function ⋮ 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 ⋮ A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION ⋮ On hyperbolic affine generalized infinite iterated function systems ⋮ Hölder continuous fractal interpolation functions
Cites Work
- Generalized iterated function systems with place dependent probabilities
- Applications of fixed point theorems in the theory of generalized IFS
- Generalized IFSs on noncompact spaces
- Generalized iterated function systems on the space \(l^\infty(X)\)
- IFS attractors and Cantor sets
- A code space for a generalized IFS
- A Note on Contractive Mappings
- On the structure of self-similar sets
- ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
- The Hutchinson-Barnsley theory for infinite iterated function systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item