A Graphical Proof of the Brouwer Fixed Point Theorem

Chuensupantharat, N; Kumam, P; Dhompongsa, S

Dhompongsa, S (reprint author), King Mongkuts Univ Technol Thonburi, KMUTT Fixed Point Theory & Applicat Res Grp, Theoret & Computat Sci Ctr TaCS, Fac Sci, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand.; Dhompongsa, S (reprint author), Chiang

THAI JOURNAL OF MATHEMATICS, 2017; 15 (3): 607

Abstract

By simplifying the proof in [1], we give a new proof of the Brouwer fixed point theorem without using the Tietze (continuous) extension theorem.

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