ITERATED FUNCTION SYSTEMS ON FUNCTIONS OF BOUNDED VARIATION-Reference-Cited by-同舟云学术

ITERATED FUNCTION SYSTEMS ON FUNCTIONS OF BOUNDED VARIATION

Published:2016-06 Issue:02 Volume:24 Page:1650019
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

LA TORRE DAVIDE¹²,MENDIVIL FRANKLIN³,VRSCAY EDWARD R.⁴

Affiliation:

1. Department of Economics, Management and Quantitative Methods, University of Milan, Italy

2. Department of Applied Mathematics and Science, Khalifa University, Abu Dhabi, United Arab Emirates

3. Department of Mathematics and Statistics, Acadia University, Wolfville, Nova Scotia, Canada

4. Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Ontario, Canada

Abstract

We show that under certain hypotheses, an iterated function system on mappings (IFSM) is a contraction on the complete space of functions of bounded variation (BV). It then possesses a unique attractor of BV. Some BV-based inverse problems based on the Collage Theorem for contraction maps are considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X16500195

Reference7 articles.

1. Fractal-Based Methods in Analysis

2. Theory of Generalized Fractal Transforms

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Contractive affine generalized iterated function systems which are topologically contracting;Chaos, Solitons & Fractals;2020-12

2. Inverse Problems and Total Variation Minimization for Iterated Function Systems on Maps;Springer Proceedings in Mathematics & Statistics;2018

3. Total variation denoising of probability measures using iterated function systems with probabilities;AIP Conference Proceedings;2017