Equivalent forms of the Brouwer fixed point theorem
Keywords
Borsuk non-retraction theorem, Himmelberg fixed point theorem, Nash equilibrium, Maynard Smith Theorem, KKM lemmaAbstract
In this paper we survey a set of Brouwer fixed point theorem equivalents. These equivalents are divided into four loops related to (1) the Borsuk retraction theorem, (2) the Himmelberg fixed point theorem, (3) the Gale lemma and (4) the Nash equilibrium theorem.Downloads
Published
2016-04-12
How to Cite
1.
IDZIK, Adam, KULPA, Władysław and MAĆKOWIAK, Piotr. Equivalent forms of the Brouwer fixed point theorem. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 44, no. 1, pp. 263 - 276. [Accessed 26 April 2024].
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