| 求解Brouwer不动点问题的改进同伦方法 |
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| 引用本文： | 苏孟龙,吕显瑞.求解Brouwer不动点问题的改进同伦方法[J].东北数学,2007,23(1):35-42. |
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| 作者姓名： | 苏孟龙 吕显瑞 |
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| 作者单位： | School of Mathematics Jilin University，Changchun，130012，School of Mathematics，Jilin University，Changchun，130012 |
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| 基金项目： | Acknowledgement The authors express their sincere thanks to Professor Li Yong and Yu Bo for their instructions and many invaluable suggestions. |
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| 摘 要： | In this paper,we modify the homotopy method(proposed by Yu and Lin,Appl.Math.Comput.,74(1996),65)and hence make the modified method be able to solve Brouwer fixed-point problems in a broader class of nonconvex subsets in R~n.In addition,a simple example is given to show the effectiveness of the modified method.
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| 关 键 词： | Brouwer不动点问题 改良同伦法 非凸子集 非线性规划 |
| 文章编号： | 1000-1778（2007）01-0035-08 |
| 收稿时间： | 2005-11-15 |
| 修稿时间： | 2005-11-15 |
Modified Homotopy Method for a Class of Brouwer Fixed-point Problems |
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| SU Meng-long,L Xian-rui.Modified Homotopy Method for a Class of Brouwer Fixed-point Problems[J].Northeastern Mathematical Journal,2007,23(1):35-42. |
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| Authors: | SU Meng-long L Xian-rui |
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| Institution: | School of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | In this paper,we modify the homotopy method(proposed by Yu and Lin,Appl.Math.Comput.,74(1996),65)and hence make the modified method be able to solve Brouwer fixed-point problems in a broader class of nonconvex subsets in R~n.In addition,a simple example is given to show the effectiveness of the modified method. |
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| Keywords: | homotopy method Brouwer fixed-point problem nonconvex subset |
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