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arXiv · 2303.06767

A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces

Michał Morayne·Robert Rałowski
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Abstract

In $T_1$ compact topological spaces the Hutchinson operator of a contractive IFS (iterated function system; a finite family of closed mappings from the space into itself) may not be closed. Nevertheless, the Hutchinson operator of a contractive IFS has always a unique fixed point.

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Michał Morayne, Robert Rałowski. 2023-03-12. A note on Hutchinson operator in $\mathbf{T_1}$ compact topological spaces. https://arxiv.org/abs/2303.06767

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