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

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 nonden...

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Bibliographic Details
Published inJournal of fixed point theory and applications Vol. 25; no. 1
Main Authors Caballero Mena, Josefa, Rocha Martín, Juan, Sadarangani, Kishin
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2023
Subjects
Analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Iterated function system
47H10
Degree of nondensifiability
47H09
28A80
Condensing functions
Attractor
Hausdorff metric
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Summary: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.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-022-00995-0