# Hutchinson's Theorem in Semimetric Spaces

@inproceedings{Kocsis2021HutchinsonsTI, title={Hutchinson's Theorem in Semimetric Spaces}, author={M'aty'as Kocsis and Zsolt P'ales}, year={2021} }

One of the important consequences of the Banach Fixed Point Theorem is Hutchinson’s theorem which states the existence and uniqueness of fractals in complete metric spaces. The aim of this paper is to extend this theorem for semimetric spaces using the results of Bessenyei and Páles published in 2017. In doing so, some properties of semimetric spaces as well as of the fractal space are investigated. We extend Hausdorff’s theorem to characterize compactness and Blaschke’s theorems to…

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