Brouwer's fixed point theorem with isolated fixed points and his fan theorem

DOI10.5402/2012/843256zbMath1235.54056OpenAlexW2032701050WikidataQ58692759 ScholiaQ58692759MaRDI QIDQ408490

Yasuhito Tanaka

Publication date: 10 April 2012

Published in: ISRN Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/843256

zbMATH Keywords

Brouwer fixed point theoremBrouwer fan theorem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Compact (locally compact) metric spaces (54E45)

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Cites Work

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• Constructive proof of the existence of Nash equilibrium in a finite strategic game with sequentially locally nonconstant payoff functions
• Brouwer's \(\epsilon\)-fixed point and Sperner's lemma
• Brouwer’s Approximate Fixed-Point Theorem is Equivalent to Brouwer’s Fan Theorem
• A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
• Brouwer's fan theorem and unique existence in constructive analysis
• The fan theorem and unique existence of maxima

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