The Tarski–Kantorovitch prinicple and the theory of iterated function systems

DOI10.1017/S0004972700022243zbMath0952.54029OpenAlexW2047417543WikidataQ55969265 ScholiaQ55969265MaRDI QIDQ4487279

Piotr Pokarowski, Lestaw Gajek, Jacek R. Jachymski

Publication date: 11 January 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700022243

zbMATH Keywords

invariant setiterated function systemTarski-Kantorovitch fixed point theorem

Mathematics Subject Classification ID

Partial orders, general (06A06) Continuous maps (54C05) Sequential spaces (54D55) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20)

Related Items (13)

Unnamed Item ⋮ Risk aversion in share auctions: Estimating import rents from TRQs in Switzerland ⋮ Invariant sets and Knaster-Tarski principle ⋮ Addendum and corrigendum to: ``On the chaos game of iterated function systems ⋮ Small and minimal attractors of an IFS ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Unnamed Item ⋮ The complexity of Tarski's fixed point theorem ⋮ Thompson aggregators, Scott continuous koopmans operators, and least fixed point theory ⋮ METRIC AND TOPOLOGICAL MULTIVALUED FRACTALS ⋮ Multivalued fractals ⋮ Fractals via iterated functions and multifunctions ⋮ SELF-SIMILARITY OF SATISFIABLE BOOLEAN EXPRESSIONS DECIPHERED IN TERMS OF GRAPH DIRECTED ITERATED FUNCTION SYSTEMS

Cites Work

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• Self-reference and fixed points: A discussion and an extension of Lawvere's theorem
• The contraction principle as a particular case of Kleene's fixed point theorem
• Self-similar sets as Tarski's fixed points
• Constructing Metrics with the Heine-Borel Property
• Composition of contractions
• SOME CONSEQUENCES OF THE TARSKI-KANTOROVITCH ORDERING THEOREM IN METRIC FIXED POINT THEORY
• Uniformly Contractive Fixed Points in Compact Metric Spaces

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