Equivalent forms of the Brouwer fixed point theorem. II.

DOI10.12775/TMNA.2020.036zbMath1476.54071OpenAlexW2339223904MaRDI QIDQ2236465

Piotr Maćkowiak, Adam Idzik, Władysław Kulpa

Publication date: 25 October 2021

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2020.036

zbMATH Keywords

Brouwer fixed point theoremSteinhaus chessboard problem

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Connections of general topology with other structures, applications (54H99)

Related Items (2)

The Brouwer fixed point theorem and periodic solutions of differential equations ⋮ Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains

Cites Work

• Equivalent forms of the Brouwer fixed point theorem I
• The Bolzano-Poincaré type theorems
• Equilibrium in a discrete exchange economy with money
• A constructive proof of a permutation-based generalization of Sperner's lemma
• Equitable allocation of divisible goods
• Ninety years of the Brouwer fixed point theorem
• Function and colorful extensions of the KKM theorem
• An \(n\)-dimensional version of Steinhaus' chessboard theorem
• The Game of Hex and the Brouwer Fixed-Point Theorem
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