KKM implies the Brouwer fixed point theorem: Another proof

Sehie PARK

Article Details

KKM implies the Brouwer fixed point theorem: Another proof

Authors:

Sehie PARK

Publisher:

Erdal KARAPINAR

Main Topics:

Mathematics

Journal:

Results in Nonlinear Analysis 2020 Vol.3 Issue 1, pp.12-17

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000604825

Frequency:

Quarterly

eISSN:

2636-7556

Abstract:

 

It is well-known that the Brouwer fixed point theorem (BFPT), the weak Sperner combinatorial lemma, and the
Knaster-Kuratowski-Mazurkiewicz (KKM) theorem are mutually equivalent and have scores of equivalent formulations and several thousand applications. It is well-known that KKM deduced the BFPT from Sperner Lemma. In this article, we recall some KKM theoretic results implying the BFPT.

Article Details

KKM implies the Brouwer fixed point theorem: Another proof

Authors: Sehie PARK

Publisher: Erdal KARAPINAR

Main Topics: Mathematics

Journal: Results in Nonlinear Analysis 2020 Vol.3 Issue 1, pp.12-17

Document Type: Article

Publication Date: 3/2020

Document Language: English

Document ID (Org No.): 2000604825

Frequency: Quarterly

eISSN: 2636-7556

Issues

Authors:

Sehie PARK

Publisher:

Erdal KARAPINAR

Main Topics:

Mathematics

Journal:

Results in Nonlinear Analysis 2020 Vol.3 Issue 1, pp.12-17

Document Type:

Article

Publication Date:

3/2020

Document Language:

English

Document ID (Org No.):

2000604825

Frequency:

Quarterly

eISSN:

2636-7556