Equivalent forms of the Brouwer fixed point theorem

Adam Idzik , Władysław Kulpa , Piotr Maćkowiak

Abstract

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.
Author Adam Idzik - Institute of Computer Science, Polish Academy of Sciences
Adam Idzik,,
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, Władysław Kulpa - Uniwersytet Kardynała Stefana Wyszyńskiego w Warszawie (UKSW), MNiSW [80]
Władysław Kulpa,,
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, Piotr Maćkowiak (WIiGE / KEM)
Piotr Maćkowiak,,
- Department of Mathematical Economics
Journal seriesTopological Methods in Nonlinear Analysis, ISSN 1230-3429, (A 35 pkt)
Issue year2014
Vol44
No1
Pages263-276
Publication size in sheets0.65
Keywords in EnglishBorsuk non-retraction theorem, Himmelberg fixed point theorem, Nash equilibrium, Maynard Smith Theorem, KKM lemma
ASJC Classification2603 Analysis; 2604 Applied Mathematics
URL http://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2014.047
Languageen angielski
Score (nominal)35
Score sourcejournalList
ScoreMinisterial score = 35.0, 10-01-2020, ArticleFromJournal
Ministerial score (2013-2016) = 35.0, 10-01-2020, ArticleFromJournal
Publication indicators WoS Citations = 1; Scopus SNIP (Source Normalised Impact per Paper): 2014 = 0.628; WoS Impact Factor: 2014 = 0.477 (2) - 2014=0.657 (5)
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