| 同伦方法求解非凸区域Brouwer不动点问题 |
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| 引用本文： | 徐庆,李旭.同伦方法求解非凸区域Brouwer不动点问题[J].应用数学学报,2006,29(4):673-680. |
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| 作者姓名： | 徐庆 李旭 |
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| 作者单位： | 复旦大学管理学院管理科学系,上海,200433 |
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| 摘 要： | 本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法,并在弱法锥(见定义2．1(2))和适当的条件下,证明了算法的全局收敛性．本文所给的条件比外法锥条件更加一般．
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| 关 键 词： | 不动点 同伦方法 弱法锥条件 非凸区域 |
| 收稿时间： | 2004-11-15 |
| 修稿时间： | 2004-11-152005-05-08 |
Homotopy method for Nonconvex Brouwer Fixed-point Problem |
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| XU QING,LI XU.Homotopy method for Nonconvex Brouwer Fixed-point Problem[J].Acta Mathematicae Applicatae Sinica,2006,29(4):673-680. |
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| Authors: | XU QING LI XU |
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| Institution: | Department of Management Science, School of Management, Fudan University, Shanghai 200433 |
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| Abstract: | In this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set,and prove the convergence under the weak normal cone condition(see Definition 2.1(2))and some proper conditions.It needs to point out that the conditions are very mild,and more general than the normal cone condition. |
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| Keywords: | Fixed-point homotopy method weak normal cone condition nonconvex set |
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