A Simple Proof of the Brouwer Fixed Point Theorem

被引：0

作者：

Dhompongsa, S. ^{[1
]}

Nantadilok, J. ^{[2
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

[2] Lampang Rajabhat Univ, Dept Math, Fac Sci, Lampang, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2015年 / 13卷 / 03期

关键词：

Brouwer fixed point theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new proof of the Brouwer fixed point theorem which is more elementary than all known ones. The only tool we use is the Tietze (continuous) extension theorem. The idea of the proof suggests some successful computation of a fixed point.

引用

页码：519 / 525

页数：7

共 50 条

[31] A Brouwer fixed-point theorem for graph endomorphisms
Knill, Oliver
FIXED POINT THEORY AND APPLICATIONS, 2013,
[32] GAME OF HEX AND THE BROUWER FIXED-POINT THEOREM
GALE, D
AMERICAN MATHEMATICAL MONTHLY, 1979, 86 (10): : 818 - 827
[33] Brouwer's fixed point theorem and the madeleine moment
Caraman, Sanziana
Caraman, Lorelei
JOURNAL OF MATHEMATICS AND THE ARTS, 2018, 12 (04) : 207 - 224
[34] THE BROUWER FIXED-POINT THEOREM AND STABILITY OF POLYMORPHISM
LU, SK
KEXUE TONGBAO, 1983, 28 (01): : 101 - 105
[35] A Brouwer fixed-point theorem for graph endomorphisms
Oliver Knill
Fixed Point Theory and Applications, 2013
[36] On the L-fuzzy Brouwer fixed point theorem
Kubiak, T
Zhang, DX
FUZZY SETS AND SYSTEMS, 1999, 105 (02) : 287 - 292
[37] SPHERICAL DESIGNS VIA BROUWER FIXED POINT THEOREM
Bondarenko, Andriy V.
Viazovska, Maryna S.
SIAM JOURNAL ON DISCRETE MATHEMATICS, 2010, 24 (01) : 207 - 217
[38] Towards a noncommutative Brouwer fixed-point theorem
Dabrowski, Ludwik
JOURNAL OF GEOMETRY AND PHYSICS, 2016, 105 : 60 - 65
[39] EQUIVALENT FORMS OF THE BROUWER FIXED POINT THEOREM II
Idzik, Adam
Kulpa, Wladyslaw
Mackowiak, Piotr
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (01) : 57 - 71
[40] THE JORDAN CURVE THEOREM VIA THE BROUWER FIXED-POINT THEOREM
MAEHARA, R
AMERICAN MATHEMATICAL MONTHLY, 1984, 91 (10): : 641 - 643

← 1 2 3 4 5 →