Hutchinson without Blaschke: an alternative way to fractals

DOI10.1016/j.exmath.2019.10.001OpenAlexW3000618977WikidataQ126349272 ScholiaQ126349272MaRDI QIDQ2035554

Mihály Bessenyei, Evelin Pénzes

Publication date: 25 June 2021

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: http://real.mtak.hu/114460/1/fpt6.pdf

zbMATH Keywords

fixed point theoremfractalcondensing mapsinvariance equationKuratowski noncompactness

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractals (28A80)

Related Items (4)

Generalized fractals in semimetric spaces ⋮ Iterated function systems based on the degree of nondensifiability ⋮ Hutchinson's theorem in semimetric spaces ⋮ Existence of a fractal of iterated function systems containing condensing functions for the degree of nondensifiability

Cites Work

• Fractals for minimalists
• Punti uniti in trasformazioni a codominio non compatto
• Remarks on fixed point theorems of contractive type
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