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A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
R. B. Kellogg, T. Y. Li and J. Yorke
SIAM Journal on Numerical Analysis
Vol. 13, No. 4 (Sep., 1976), pp. 473-483
Published by: Society for Industrial and Applied Mathematics
Stable URL: http://www.jstor.org/stable/2156239
Page Count: 11
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A constructive proof of the Brouwer fixed-point theorem is given, which leads to an algorithm for finding the fixed point. Some properties of the algorithm and some numerical results are also presented.
SIAM Journal on Numerical Analysis © 1976 Society for Industrial and Applied Mathematics