| 实线性空间中集值优化问题弱有效解的最优性条件 |
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| 引用本文： | 赵桂芝,阳南宁,旷华武.实线性空间中集值优化问题弱有效解的最优性条件[J].贵州大学学报(自然科学版),2009,26(2):21-23. |
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| 作者姓名： | 赵桂芝 阳南宁 旷华武 |
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| 作者单位： | 贵州大学理学院数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省科技厅基金，贵州大学研究生创新基金 |
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| 摘 要： | 在实线性空间中，建立了广义锥次凸集值映射的择一定理。利用此定理，得到了集值优化问题弱有效解的最优性条件。
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| 关 键 词： | 实线性空间 集值映射 择一性定理 最优性条件 |
The Optimality Conditions for Weak Efficiency in Set-valued Optimization Problems on Real Linear Spaces |
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| ZHAO Gui-zhi,YANG Nan-ning,KUANG Hua-wu.The Optimality Conditions for Weak Efficiency in Set-valued Optimization Problems on Real Linear Spaces[J].Journal of Guizhou University(Natural Science),2009,26(2):21-23. |
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| Authors: | ZHAO Gui-zhi YANG Nan-ning KUANG Hua-wu |
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| Institution: | Department of Mathematics;College of Science;Guizhou University;Guiyang;550025;China |
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| Abstract: | The alternative theorem of set-valued maps with generalized cone-subconvexlike was established.On its basis,the optimality conditions for weak efficiency in set-valued optimization problems were obtained by applying the alternative theorem. |
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| Keywords: | real linear spaces set-valued maps alternative theorem optimality conditions |
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