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

Autor: Morayne, Michał, Rałowski, Robert
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv