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Cyclic weak ϕ iterated function system
Topological Algebra and its Applications, 2022 In this article, we are considering the cyclic weak ϕ-contraction and prove that the result is also true in Hausdorff metric space. We are constructing a cyclic weak ϕ iterated function system (IFS), which gives the self-referential set or attractor ...
Ullah Kifayat, Katiyar S. K.
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Generalized Iterated Function Systems on b-Metric Spaces
Mathematics, 2023 An iterated function system consists of a complete metric space (X,d) and a finite family of contractions f1,⋯,fn:X→X. A generalized iterated function system comprises a finite family of contractions defined on the Cartesian product Xm with values in X ...
Izabella Abraham, Radu Miculescu
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Iterated Function System Models in Data Analysis: Detection and Separation [PDF]
Chaos, 2011 We investigate the use of iterated function system (IFS) models for data analysis. An IFS is a discrete dynamical system in which each time step corresponds to the application of one of a finite collection of maps.
Alexander, Zachary +3 more
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Fractals via Controlled Fisher Iterated Function System
Fractal and Fractional, 2022 This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research.
C. Thangaraj, D. Easwaramoorthy
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Equilibrium states of generalised singular value potentials and applications to affine iterated function systems [PDF]
, 2018 We completely describe the equilibrium states of a class of potentials over the full shift which includes Falconer's singular value function for affine iterated function systems with invertible affinities.
Bochi, Jairo, Morris, Ian D.
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PERANCANGAN PERANGKAT LUNAK GENERATOR GAMBAR DAN MUSIK FRAKTAL DENGAN METODE ITERATED FUNCTION SYSTEM [PDF]
CommIT Journal, 2007 Article presents analysis and analyze a software that utilize Geometry Fractal, especially Iterated Function System Fractal, as art. Research method that has been used in this research is by library study and by laboratorium study to test the performance
Tri Djoko Wahjono +2 more
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Iterated function systems consisting of continuous functions satisfying Banach’s orbital condition
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 We introduce the concept of iterated function system consisting of continuous functions satisfying Banach’s orbital condition and prove that the fractal operator associated to such a system is weakly Picard. Some examples are provided.
Miculescu Radu +2 more
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Entropy, 2018 In this paper we consider the metric entropies of the maps of an iterated function system deduced from a black hole which are known the Bekenstein–Hawking entropies and its subleading corrections.
Christian Corda +3 more
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Iterated function system in ∅- Metric Spaces
Boletim da Sociedade Paranaense de Matemática, 2022 Fractals have gained great attention from researchers due to their wide applications in engineering and applied sciences. Especially, in several topics of applied sciences, the iterated function systems theory has important roles.
S. S. Al-bundi
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Intrinsic Diophantine approximation for overlapping iterated function systems [PDF]
Mathematische Annalen, 2021 In this paper we study a family of limsup sets that are defined using iterated function systems. Our main result is an analogue of Khintchine’s theorem for these sets.
S. Baker
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