Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability

被引：1

作者：

Caballero Mena, Josefa ^{[1
]}

Rocha Martin, Juan ^{[1
]}

Sadarangani, Kishin ^{[1
]}

机构：

[1] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira Baja, Las Palmas Gran Canaria 35017, Spain

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2023年 / 25卷 / 01期

关键词：

Iterated function system; Attractor; Hausdorff metric; Condensing functions; Degree of nondensifiability; HUTCHINSON;

D O I：

10.1007/s11784-022-00995-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

From a fixed point theorists' view, Hutchinson considered a fractal set as a fixed point problem and applied the Banach contraction principle to prove its existence. In this paper, we present a result about the existence of fractal for a finite iterated condensing function using the degree of nondensifiability.

引用

页数：9

共 21 条

[1] Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability
Josefa Caballero Mena
Juan Rocha Martín
Kishin Sadarangani
Journal of Fixed Point Theory and Applications, 2023, 25
[2] Iterated function systems based on the degree of nondensifiability
Garcia, Gonzalo
Mora, Gaspar
JOURNAL OF FRACTAL GEOMETRY, 2022, 9 (3-4) : 357 - 372
[3] Fractal Tilings from Iterated Function Systems
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Andrew Vince
Discrete & Computational Geometry, 2014, 51 : 729 - 752
[4] Fractal Tilings from Iterated Function Systems
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DISCRETE & COMPUTATIONAL GEOMETRY, 2014, 51 (03) : 729 - 752
[5] The Existence of the Attractor of Countable Iterated Function Systems
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Mediterranean Journal of Mathematics, 2012, 9 : 61 - 79
[6] The Existence of the Attractor of Countable Iterated Function Systems
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MEDITERRANEAN JOURNAL OF MATHEMATICS, 2012, 9 (01) : 61 - 79
[7] Revisiting fractal through nonconventional iterated function systems
Prithvi, B. V.
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CHAOS SOLITONS & FRACTALS, 2023, 170
[8] ATTRACTORS OF INFINITE ITERATED FUNCTION SYSTEMS CONTAINING CONTRACTION TYPE FUNCTIONS
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ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2013, 59 (02): : 281 - 298
[9] Fractal videofeedback as analog iterated function systems
Frame, Michael
Neger, Nial
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2008, 16 (03) : 275 - 285
[10] Iterated Function Systems, Capacity and Green’s Functions
Line Baribeau
Dominique Brunet
Thomas Ransford
Jérémie Rostand
Computational Methods and Function Theory, 2004, 4 (1) : 47 - 58

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