Results 21 to 30 of about 17,628 (268)

Iterated Function Systems on Multifunctions [PDF]

, 2007
We introduce a method of iterated function systems (IFS) over the space of set-valued mappings (multifunctions). This is done by first considering a couple of useful metrics over the space of multifunctions F(X,Y). Some appropriate IFS-type fractal transform operators T:F(X,Y)->F(X,Y) are then defined which combine spatially-contracted and range ...
D. La Torre, F. Mendivil, E. Vrscay
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IFSs consisting of generalized convex contractions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper we introduce the concept of iterated function system consisting of generalized convex contractions. More precisely, given n ∈ ℕ*, an iterated function system consisting of generalized convex contractions on a complete metric space (X; d) is
Georgescu Flavian
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Approximating distribution functions by iterated function systems [PDF]

Journal of Applied Mathematics and Decision Sciences, 2002
An iterated function system (IFS) on the space of distribution functions is built with the aim of proposing a new class of distribution function estimators. One IFS estimator and its asymptotic properties are studied in detail. We also propose a density estimator derived from the IFS distribution function estimator by using Fourier analysis. Relative
S.M. Iacus, D. La Torre
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Iterated Relation Systems on Riemannian Manifolds

Fractal and Fractional
For fractals on Riemannian manifolds, the theory of iterated function systems often does not apply well directly, as these fractal sets are often defined by relations that are multivalued or non-contractive.
Jie Liu, Sze-Man Ngai, Lei Ouyang
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Weak θ-contractions and some fixed point results with applications to fractal theory

Advances in Difference Equations, 2018
In this paper, we define weak θ-contractions on a metric space into itself by extending θ-contractions introduced by Jleli and Samet (J. Inequal. Appl.
Mohammad Imdad, Waleed M. Alfaqih, Idrees A. Khan   +2 more
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Iterated function system of locally contractive operators

Journal of Numerical Analysis and Approximation Theory, 2004
The aim of this paper is to study the properties of the fractal and the multi-fractal operator generated by some iterated function system satisfying to a locally contractive type condition.
Adrian Petruşel
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Applications of Multivalued Contractions on Graphs to Graph-Directed Iterated Function Systems

Abstract and Applied Analysis, 2015
We apply a fixed point result for multivalued contractions on complete metric spaces endowed with a graph to graph-directed iterated function systems.
T. Dinevari, M. Frigon
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Tiling iterated function systems

Chaos, Solitons & Fractals
This paper presents a detailed symbolic approach to the study of self-similar tilings. It uses properties of addresses associated with graph-directed iterated function systems to establish conjugacy properties of tiling spaces. Tiles may be fractals and the tiled set may be a complicated unbounded subset of $\mathbb{R}^{M}$.
Louisa F. Barnsley, Michael F. Barnsley, Andrew Vince   +2 more
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Iterated function system quasiarcs [PDF]

Conformal Geometry and Dynamics of the American Mathematical Society, 2017
We consider a class of iterated function systems (IFSs) of contracting similarities of Rn\mathbb {R}^n, introduced by Hutchinson, for which the invariant set possesses a natural Hölder continuous parameterization by the unit interval. When such an invariant set is homeomorphic to an interval, we give necessary conditions in terms of the similarities ...
Iseli, Annina, Wildrick, Kevin
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FRACTAL VECTOR MEASURES IN THE CASE OF AN UNCOUNTABLE ITERATED FUNCTION SYSTEM [PDF]

Romanian Journal of Mathematics and Computer Science, 2015
In this paper we obtain an extension of the concept of Hutchinson measure (which is the unique fixed point of a contraction on the set of normalized Borel measures on a compact metric space) related to an iterated function system.
LUCIAN NITA
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