| Solving a Class of Brouwer Fixed-point Problems via a Modified Aggregate Constraint Homotopy Method |
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| 引用本文： | 苏孟龙 吕显瑞. Solving a Class of Brouwer Fixed-point Problems via a Modified Aggregate Constraint Homotopy Method[J]. 东北数学, 2007, 23(5): 377-385 |
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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 |
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| 基金项目： | Acknowledgements The authors express their sincere thanks to Professor Li Yong for his instructions and many valuable suggestions. |
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| 摘 要： | ![]()
In this paper, we provide an aggregate function homotopy interior point method to solve a class of Brouwer fixed-point problems. Compared with the homotopy method （proposed by Yu and Lin, Appl. Math. Comput., 74（1996）, 65）, the main adavantages of this method are as foUows： on the one hand, it can solve the Brouwer fixed-point problems in a broader class of nonconvex subsets Ω in R^n （in this paper, we let Ω={x∈ R^n ： gi（x） ≤0, i= 1,... , m}）; on the other hand, it can also deal with the subsets Ω with larger amount of constraints more effectively.
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| 关 键 词： | 改进 同伦方法 求解 Brouwer不动点问题 |
| 文章编号： | 1000-1778（2007）05-0377-09 |
| 收稿时间： | 2006-04-20 |
Solving a Class of Brouwer Fixed-point Problems via a Modified Aggregate Constraint Homotopy Method |
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| SU Meng-long , LIl Xian-rui. Solving a Class of Brouwer Fixed-point Problems via a Modified Aggregate Constraint Homotopy Method[J]. Northeastern Mathematical Journal, 2007, 23(5): 377-385 |
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| Authors: | SU Meng-long LIl Xian-rui |
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| Affiliation: | School of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | ![]()
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| Keywords: | homotopy method Brouwer fixed-point problem nonconvex subset |
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