| 可达到和可逼近总极小点的存在性和最优性 |
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| 引用本文： | 姚奕荣,安柳,陈熙,郑权.可达到和可逼近总极小点的存在性和最优性[J].运筹学学报,2012,16(2):32-40. |
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| 作者姓名： | 姚奕荣 安柳 陈熙 郑权 |
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| 作者单位： | 1. 上海大学数学系, 上海，200444；;
2. 美国哥伦布州立大学数学系，哥伦布，GA 31907 |
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| 基金项目： | Supported by the grant of National Natural Science Foundation of China(No.10771133);Key Disciplines of Shanghai Municipality(Operations Research and Control Theory S 30104) |
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| 摘 要： | 针对积分总极值，讨论并拓展了丰满集和丰满函数的概念，研究了拟上丰满和伪上丰满函数的总极值问题. 在总极值的变差积分最优性条件下，证明了拟上丰满函数的可达到极小点和伪上丰满函数的可逼近极小点的存在性.
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| 关 键 词： | ,总极值问题,丰满极小点,拟上半丰满,变差积分, |
| 收稿时间： | 2011-03-01 |
| 修稿时间： | 2012-03-29 |
Existence and optimality of accessible and approximatable global minimizers |
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| YAO Yirong
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AN Liu
,
CHEN Xi
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ZHENG Quan.Existence and optimality of accessible and approximatable global minimizers[J].OR Transactions,2012,16(2):32-40. |
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| Authors: | YAO Yirong AN Liu CHEN Xi ZHENG Quan |
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| Institution: | 1. Department of Mathematics, Shanghai University, Shanghai 200444, China;
2. Department of Mathematics, Columbus State University, Columbus, GA 31907 |
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| Abstract: | The concepts of robustness of sets and functions areproposed in view of the theory of integral global minimization. These concepts are generalized, and global minimization of quasi and pseudo upper robust function is investigated in this paper. With the deviation integral optimality condition of global minimum, the existence of accessible minimizer of quasi upper functions and approximatable minimizer of pseudo upper robust function is examined.. |
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| Keywords: | global optimization robust minimizer quasi upper robust deviation integral |
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