Non-stationary versions of fixed-point theory, with applications to fractals and subdivision

DOI10.1007/S11784-019-0659-1zbMath1412.28007OpenAlexW2913762029MaRDI QIDQ2631667

Yanyan Li

Publication date: 15 May 2019

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

Full work available at URL: https://doi.org/10.1007/s11784-019-0659-1

zbMATH Keywords

attractorssubdivision schemesfractalsfixed-point theory

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point theorems (47H10) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (9)

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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractal approximation
• \(V\)-variable fractals: Fractals with partial self similarity
• A 4-point interpolatory subdivision scheme for curve design
• Recurrent iterated function systems
• Uniform refinement of curves
• Fractal functions and their applications
• Bézier and B-spline techniques
• Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
• Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
• Analysis of asymptotically equivalent binary subdivision schemes
• Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters
• Fractal rational functions and their approximation properties
• Subdivision schemes in geometric modelling
• Stationary subdivision

This page was built for publication: Non-stationary versions of fixed-point theory, with applications to fractals and subdivision