An elementary proof of the Brouwer’s fixed point theorem

Author:

Ben-El-Mechaieh HichemORCID,Mechaiekh Yusef A.

Abstract

AbstractWe provide an elementary proof of the Brouwer’s fixed point theorem based solely on introductory topological concepts such as compactness and connectedness both covered in a first undergraduate course in point-set topology.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference7 articles.

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2. Granas, Andrzej; Dugundji, James: Fixed Point Theory, Springer Monographs in Mathematics. Springer, New York (2003)

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4. James R. M.: Topology, 2nd Edn. Prentice-Hall Inc., New Jersey (2000)

5. Park, Sehie: Ninety years of the Brouwer fixed point theorem. Vietnam J. Math. 27, 187–222 (1998)

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