Year: 2026
Type: preprint
Abstract: We show that the Hutchinson operator of an Iterated Function System with an attractor is equicontinuous if and only if it is continuous; in particular, every finite Iterated Function System with an attractor has equicontinuous Hutchinson operator. We also characterize equicontinuity of Hutchinson operators generated by a natural class of continuous multifunctions in terms of continuity of their limit maps.
Source: arXiv (Cornell University)
Authors: Strobin, Filip, Szuca, Piotr
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7163080766