| ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING |
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| 作者姓名： | 万仲平 王先甲 何炬林 贾世会 |
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| 作者单位： | School of Mathematics and Statistics Wuhan University，Institute of Systems Engineering Wuhan University，School of Mathematics and Statistics Wuhan University，School of Mathematics and Statistics Wuhan University Wuhan 430012，China，Wuhan 430072，China，Wuhan 430072，China，Wuhan 430072，China |
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| 基金项目： | Supported by the National Key Basic Research Special Fund(2003CB415200)
the National Science Foundation(70371032 and 60274048)
the Doctoral Foundation of the Ministry of Education(20020486035) |
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| 摘 要： | The aim of this article is to discuss an asymptotic approximation model and its convergence for the minimax semi-infinite programming problem. An asymptotic surrogate constraints method for the minimax semi-infinite programming problem is presented by making use of two general discrete approximation methods. Simultaneously, the consistence and the epi-convergence of the asymptotic approximation problem are discussed.
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| 关 键 词： | 渐进线逼近 收敛性 半无限规划 约束性 离散函数 |
| 收稿时间： | 2002-11-04 |
| 修稿时间： | 2004-02-10 |
ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING |
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| Wan Zhongping,Wang Xianjia,He Julin,Jia Shihui.ASYMPTOTIC APPROXIMATION METHOD AND ITS CONVERGENCE ON SEMI-INFINITE PROGRAMMING[J].Acta Mathematica Scientia,2006,26(1):17-24. |
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| Authors: | Wan Zhongping Wang Xianjia He Julin Jia Shihui |
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| Abstract: | The aim of this article is to discuss an asymptotic approximation model and its convergence for the minimax semi-infinite programming problem. An asymptotic surrogate constraints method for the minimax semi-infinite programming problem is presented by making use of two general discrete approximation methods. Simultaneously, the consistence and the epi-convergence of the asymptotic approximation problem are discussed. |
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| Keywords: | Semi-infinite programming asymptotic approximation convergence |
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