| 非光滑向量极值问题的广义真有效解 |
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| 引用本文： | 肖成河,陈修素,隋如滨,李允.非光滑向量极值问题的广义真有效解[J].哈尔滨商业大学学报(自然科学版),2002,18(4):455-457. |
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| 作者姓名： | 肖成河 陈修素 隋如滨 李允 |
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| 作者单位： | 1. 哈尔滨商业大学,基础部,黑龙江,哈尔滨,150076
2. 重庆商学院,基础部,四川,重庆,630067 |
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| 摘 要： | 将1]中欧氏空间上多目标优化问题的Hartley真有效解，广义KT－真有效解，广义K－真有效解的概念推广到一般赋范空间上的几量极大值问题（VMP）的情形，在赋范空间的框架下，讨论了2]中的（VMP）的Borwein真有效解与本文中定义的Hartley真有效解的关系，并建立了广义KT－真有效解的必要条件与充分条件，最后还讨论了（VMP）的Hartley真有效解，广义KT－真有效解，广义K－真有效解的关系，从而推广了1]中的主要结果。
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| 关 键 词： | 向量极值 真有效解 |
| 文章编号： | 1004-1842(2002)04-0455-03 |
| 修稿时间： | 2001年6月6日 |
Generalized true effective solutions of problem of non-smooth vector extreme value |
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| XIAO Cheng-he ,CHEN Xiu-shu ,SUI Ru-bin ,LI Yun.Generalized true effective solutions of problem of non-smooth vector extreme value[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2002,18(4):455-457. |
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| Authors: | XIAO Cheng-he CHEN Xiu-shu SUI Ru-bin LI Yun |
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| Institution: | XIAO Cheng-he 1,CHEN Xiu-shu 2,SUI Ru-bin 1,LI Yun 1 |
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| Abstract: | Spreads the concepts of Hartley true effective solution,generalized KT-true effective solution and generalized K-true effective solution of the multigoal optimization problem in Euclidean space in document to the case of the vector extreme value problem(VMP) in general normed space,within the frame work of normed space discusses the relationship between the Borwe in true effective solutions of VMP in document and the Hartley true effective solutions were defined ,established the necessary condition and sufficient condition for generalized KT-true effective solutions,and finally discussed the relationship between the Hartley true effective solutions of VMP,generalized KT-true effective solutions and generalized KT-true effective solutions,thus spreading the main consequence in document. |
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| Keywords: | vector extreme value true effective solution |
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