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math.GN2023
Fixed point theorems for topological contractions and the Hutchinson operator
Michał Morayne, Robert Rałowski
For a topological space a topological contraction on is a closed mapping such that for every open cover of there is a positive integer such that the imag…
math.GN2023
A note on Hutchinson operator in compact topological spaces
Michał Morayne, Robert Rałowski
In 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 b…