Results 231 to 240 of about 17,992 (265)
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Fractals, 2010
In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
Sahu, D. R. +2 more
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In 1969, Kannan1 gave the definition of a new mapping which had presented a condition which is more lenient than contraction condition. The purpose of this note is to introduce K-Iterated Function System using Kannan mapping which will cover a larger range of mappings. We also prove the Collage theorem for the K-Iterated Function System.
Sahu, D. R. +2 more
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Iterated function systems and dynamical systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1995We study the relationship between measures invariant for a piecewise expanding transformation τ of a compact metric space endowed with a underlying measure and measures invariant for an iterated function system Tτ, generated by inverse branches of τ. The main result says that the τ-invariant absolutely continuous measure μ is also Tτ invariant if and ...
Góra, Paweł, Boyarsky, Abraham
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Refinable functions, functionals, and iterated function systems
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Francesco Calabrò +3 more
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Iterated Function Systems, Iterated Multifunction Systems, and Applications
2008In the first part of the paper we recall the theory of iterated function systems and iterated multifunction systems. In the second part we show some applications in economics, statistics and finance.
C. Colapinto, D. La Torre
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Infinite Iterated Function Systems
Mathematische Nachrichten, 1994AbstractWe examine iterated function systems consisting of a countably infinite number of contracting mappings (IIFS). We state results analogous to the well‐known case of finitely many mappings (IFS). Moreover, we show that IIFS can be approximated by appropriately chosen IFS both in terms of Hausdorff distance and of Hausdorff dimension.
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ITERATED FUNCTION SYSTEMS ON FUNCTIONS OF BOUNDED VARIATION
Fractals, 2016We show that under certain hypotheses, an iterated function system on mappings (IFSM) is a contraction on the complete space of functions of bounded variation (BV). It then possesses a unique attractor of BV. Some BV-based inverse problems based on the Collage Theorem for contraction maps are considered.
D. La Torre, F. Mendivil, E. R. Vrscay
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Iterated Function Systems, Capacity and Green’s Functions
Computational Methods and Function Theory, 2004The iterated function system \(f_1, \ldots, f_m: \mathbb C\to\mathbb C\) with Lipschitz bounds \[ a_j | z-w| \leq | f_j(z)-f_j(w)| \leq b_j | z-w| , \] for ...
Baribeau, Line +3 more
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D/A Converters and Iterated Function Systems
Nonlinear Dynamics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saito, Toshimichi +2 more
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Random iteration for infinite nonexpansive iterated function systems
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2015We prove that the random iteration algorithm works for strict attractors of infinite iterated function systems. The system is assumed to be compactly branching and nonexpansive. The orbit recovering an attractor is generated by a deterministic process and the algorithm is always convergent.
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ON (n, m)-ITERATED FUNCTION SYSTEMS
Asian-European Journal of Mathematics, 2013One of the most common way to generate a fractal is by using an iterated function system (IFS). In this paper, we introduce an (n, m)-IFS, which is a collection of n IFSs and discuss the attractor of this system. Also we prove the continuity theorem and collage theorem for (n, m)-IFS.
Balu, Rinju, Mathew, Sunil
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