Generalizations of fixed point theorems and computation

被引：3
|
作者：
Xu, Qing [1 ]
Dang, Chuangyin [2 ]
Zhu, Daoli [1 ]
机构：
[1] Fudan Univ, Sch Management, Shanghai 200433, Peoples R China
[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 354卷 / 02期
关键词：
Fixed point; Homotopy method; Global convergence; Nonconvex set; EQUILIBRIUM PROBLEMS;
D O I：
10.1016/j.jmaa.2009.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
As a powerful mechanism, fixed point theorems have many applications in mathematical and economic analysis. In this paper, the well-known Brouwer fixed point theorem and Kakutani fixed point theorem are generalized to a class of nonconvex sets and a globally convergent homotopy method is developed for computing fixed points on this class of nonconvex sets. Crown Copyright (C) 2009 Published by Elsevier Inc. All rights reserved.
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页码：550 / 557
页数：8
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