Nonlinear fractal interpolation curves with function vertical scaling factors

DOI10.1007/s13226-020-0412-xzbMath1450.37021OpenAlexW3037653826MaRDI QIDQ2195652

HakMyong Mun, HyonJin Kim, Jin-Myong Kim

Publication date: 27 August 2020

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0412-x

zbMATH Keywords

iterated function systemfractal interpolation functionRakotch contractionGeraghty contractionfractal interpolation curve

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Related Items (4)

On the fractal interpolation functions associated with Matkowski contractions ⋮ On the construction of recurrent fractal interpolation functions using Geraghty contractions ⋮ Compatibility conditions for systems of iterative functional equations with non-trivial contact sets ⋮ A countable fractal interpolation scheme involving Rakotch contractions

Cites Work

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• Attractors of generalized IFSs that are not attractors of IFSs
• Fractal interpolation functions with variable parameters and their analytical properties
• A new fixed point theorem in the fractal space
• Fractal functions and interpolation
• Viscosity approximation methods with weakly contractive mappings for nonexpansive mappings
• A Note on Contractive Mappings
• A Comparison of Various Definitions of Contractive Mappings
• A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION
• The Hutchinson-Barnsley theory for infinite iterated function systems
• On Contractive Mappings

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