3 papers
math.LO2011
Brouwer's fixed point theorem with sequentially at most one fixed point
Yasuhito Tanaka
We present a constructive proof of Brouwer's fixed point theorem with sequentially at most one fixed point, and apply it to the mini-max theorem of zero-sum games.
math.LO2011
Constructive proofs of Tychonoff's and Schauder's fixed point theorems for sequentially locally non-constant functions
Yasuhito Tanaka
We present a constructive proof of Tychonoff's fixed point theorem in a locally convex space for sequentially locally non-constant functions, As a corollary to this theorem we also…
math.LO2011
Constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant and uniformly sequentially continuous functions by Sperner's lemma
Yasuhito Tanaka
In this paper using Sperner's lemma for modified partition of a simplex we will constructively prove Brouwer's fixed point theorem for sequentially locally non-constant and uniform…