Generalized IFSs on noncompact spaces
type: Item
instance of: scholarly article
title: Generalized IFSs on noncompact spaces
zbMATH Open document ID: 1197.54067
DOI: 10.1155/2010/584215
author: Alexandru Mihail
author: Radu Miculescu
published in: Fixed Point Theory and Applications
publication date: 2010-04-13T00:00:00Z
full work available at URL: https://eudml.org/doc/223919
review text: This paper extends earlier work by the authors [Fixed Point Theory Appl. 2008, Article ID 312876 (2008; Zbl 1201.54037)] concerning iterated function schemes on compact metric spaces. Here the case of a finite family of Lipschitz contractions \(f_1,\dots,f_n:X^m\to X\) on a complete metric space is studied. The existence of an attractor is shown, and the Hausdorff-Pompeiu distance between such attractors is found, showing continuity in the functions. Examples are given to show that this is a natural extension of the notion of iterated function scheme on compact metric spaces.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 5692340
zbMATH Keywords: iterated function scheme
zbMATH Keywords: non-compact spaces
reviewed by: Thomas B. Ward
MaRDI profile type: Publication
OpenAlex ID: W2091684791
Wikidata QID: Q59250436
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description: scientific article; zbMATH DE number 5692340