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arxiv: 2605.30923 · v1 · pith:7OYLCAZOnew · submitted 2026-05-29 · 🧮 math.DS

On the equicontinuity of the Hutchinson operator

classification 🧮 math.DS
keywords hutchinsonequicontinuousfunctioniteratedoperatorattractorclassequicontinuity
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We prove that the Hutchinson operators of a wide class of Iterated Function Systems are equicontinuous. In particular, every Iterated Function System with an attractor has equicontinuous Hutchinson operator.

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