Equivalent forms of the Brouwer fixed point theorem I

DOI10.12775/TMNA.2014.047zbMath1476.54070OpenAlexW4252045202MaRDI QIDQ519403

Adam Idzik, Piotr Maćkowiak, Władysław Kulpa

Publication date: 4 April 2017

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

Full work available at URL: https://doi.org/10.12775/tmna.2014.047

zbMATH Keywords

Nash equilibriumHimmelberg fixed point theoremKKM lemmaBorsuk non-retraction theoremMaynard Smith theorem

Mathematics Subject Classification ID

Noncooperative games (91A10) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Research exposition (monographs, survey articles) pertaining to general topology (54-02)

Related Items (4)

The Brouwer fixed point theorem and periodic solutions of differential equations ⋮ Equivalent forms of the Brouwer fixed point theorem. II. ⋮ Function and colorful extensions of the KKM theorem ⋮ Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains

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