Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision

DOI10.1007/S11784-019-0750-7zbMath1489.37021arXiv1902.03407OpenAlexW2990838828WikidataQ126662428 ScholiaQ126662428MaRDI QIDQ2288051

Yanyan Li

Publication date: 17 January 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03407

zbMATH Keywords

fixed pointsattractorssubdivision schemesfractalsfunction systems

Mathematics Subject Classification ID

Complete metric spaces (54E50) Stability of topological dynamical systems (37B25) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (8)

Non-stationary \(\phi\)-contractions and associated fractals ⋮ Non-stationary \(\alpha\)-fractal surfaces ⋮ Clifford-valued fractal interpolation ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ Hypercomplex iterated function systems ⋮ On fractal dimension of the graph of nonstationary fractal interpolation function ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ Non-stationary zipper \(\alpha\)-fractal functions and associated fractal operator

Cites Work

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• Fractal rational functions and their approximation properties
• Non-stationary versions of fixed-point theory, with applications to fractals and subdivision
• Subdivision schemes in geometric modelling
• Stationary subdivision

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