Attractors of iterated function systems and Markov operators
type: Item
instance of: scholarly article
title: Attractors of iterated function systems and Markov operators
zbMATH Open document ID: 1034.47002
DOI: 10.1155/S1085337503212033
author: Józef Myjak
author: Tomasz Szarek
published in: Abstract and Applied Analysis
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50683
review text: The aim of the present paper is to give a review of results concerning ``generalized'' attractors for a large class of iterated function systems \(\{w_i\mid i\in I\}\) acting on a complete separable metric space which allows the consideration of a new class of sets with many interesting properties called semi-attractors or semifractals. Furthermore, the authors present some fixed-point results for Markov operators acting on the space of Borel measures in order to develop some relations between semi-attractors and supports of invariant measures for the aforementioned Markov operators and between multifunctions and transition functions appearing in the theory of Markov operators.
Mathematics Subject Classification ID: 47A35
Mathematics Subject Classification ID: 60J05
Mathematics Subject Classification ID: 28D15
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 1929993
zbMATH Keywords: iterated function systems
zbMATH Keywords: semi-attractors
zbMATH Keywords: semifractals
zbMATH Keywords: Markov operators
zbMATH Keywords: space of Borel measures
reviewed by: Chryssoula Ganatsiou
MaRDI profile type: Publication
OpenAlex ID: W1963963360
description: scientific article; zbMATH DE number 1929993