3 citations · 5 across the 17 of their papers we have counts for
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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.
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…
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…
Constructive proof of the existence of Nash Equilibrium in a finite strategic game with sequentially locally non-constant payoff functions by Sperner's lemma
Yasuhito Tanaka
Using Sperner's lemma for modified partition of a simplex we will constructively prove the existence of a Nash equilibrium in a finite strategic game with sequentially locally non-…
Constructive proof of the existence of equilibrium in competitive economy with sequentially locally non-constant excess demand functions
Yasuhito Tanaka
We present a constructive proof of the existence of an equilibrium in a competitive economy with sequentially locally non-constant excess demand functions. And we will show that th…
Constructive proof of Brouwer's fixed point theorem for sequentially locally non-constant functions
Yasuhito Tanaka
We present a constructive proof of Brouwer's fixed point theorem for uniformly continuous and sequentially locally non-constant functions based on the existence of approximate fixe…