CONSTRUCTIVE PROOF OF BROUWER FIXED-POINT THEOREM AND COMPUTATIONAL RESULTS

被引：132

作者：

KELLOGG, RB

LI, TY

YORKE, J

机构：

[1] UNIV MARYLAND,INST FLUID DYNAM & APPL MATH,COLLEGE PK,MD 20742

[2] UNIV UTAH,DEPT MATH,SALT LAKE CITY,UT 84112

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 1976年 / 13卷 / 04期

关键词：

FIXED POINT THEOREM;

D O I：

10.1137/0713041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：473 / 483

页数：11

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