EQUIVALENT FORMS OF THE BROUWER FIXED POINT THEOREM I

作者：Idzik Adam^*; Kulpa Wladyslaw; Mackowiak Piotr

来源：Topological Methods in Nonlinear Analysis, 2014, 44(1): 263-276.

• Borsuk non-retraction theorem
• Himmelberg fixed point theorem
• Nash equilibrium
• Maynard Smith Theorem
• KKM lemma

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.

• 出版日期2014-9