Boundedness of Lasota–Myjak Attractors for Iterated Function Systems

Grzegorz Guzik

doi:10.2478/amsil-2026-0010

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Boundedness of Lasota–Myjak Attractors for Iterated Function Systems

Annales Mathematicae Silesianae

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By: Grzegorz Guzik

Open Access

|Jul 2026

Abstract

We consider topological attractors of (possibly infinite) iterated function systems. It is shown that for some class of non-expansive mappings the boundedness of the set of all globally attractive fixed points is equivalent to the boundedness of the attractor. Moreover, such a system fullfils the so-called address theorem.

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2026-0010 | Journal eISSN: 2391-4238 (formerly 0860-2107) | Journal ISSN: 0860-2107

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Language: English

Submitted on: Nov 4, 2025

Accepted on: May 29, 2026

Published on: Jul 7, 2026

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Keywords:

topological limit,

lower semicontinuous multifunction,

iterated function system,

ϕ-contraction,

attractor

MSC:

28A80,

54H20,

26E25,

47H04

Related subjects:

Mathematics,

General mathematics

© 2026 Grzegorz Guzik, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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