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Fractal modeling with coupled iterated function systems
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DOI：10.1007/s12215-026-01413-x.png)
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Abstract
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In this paper, we introduce generalized proximal phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi $$\end{document}-contraction maps of type I and type II. We then construct the corresponding coupled proximal iterated function systems associated with these contractions and demonstrate their applicability in fractal theory by generating fractals through the newly developed systems. Furthermore, illustrative examples are presented to substantiate the main results.
Keywords:
Best attractor
Iterated function systems
Coupled best attractor
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104
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