| 集值优化问题的Benson真有效解的广义导数型最优性条件 |
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| 引用本文： | 旷华武.集值优化问题的Benson真有效解的广义导数型最优性条件[J].应用数学学报,2006,29(5):778-788. |
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| 作者姓名： | 旷华武 |
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| 作者单位： | 贵州大学理学院数学系,贵阳,550025 |
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| 摘 要： | 引进了集值映射关于锥的Clarke切导数, Adjacent切导数与Contingent切导数概念;应用它们导出了具Slater约束规格的集值优化问题的Benson真有效解的广义导数型最优性条件．
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| 关 键 词： | 集值映射 切锥 广义切导数 Benson真有效解 最优性条件 |
| 收稿时间： | 2004-05-12 |
| 修稿时间： | 2004-05-122005-12-08 |
The Generalized Derivative Type Optimality Conditions of Set-valued Optimization Problems with Benson Proper Efficiency |
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| KUANG HUAWU.The Generalized Derivative Type Optimality Conditions of Set-valued Optimization Problems with Benson Proper Efficiency[J].Acta Mathematicae Applicatae Sinica,2006,29(5):778-788. |
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| Authors: | KUANG HUAWU |
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| Institution: | Department of Mathematics, College of Science, GuiZhou University, GuiYang 550025 |
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| Abstract: | The concepts of Clarke tangent derivative, adjacent tangent derivative and contingent tangent derivative for a set-valued map with respect to cone are introduced; Applying this, the generalized derivative type optimah'ty conditions for set-valued optimization problems with Benson proper efficiency solutions are established. |
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| Keywords: | set-valued map tangent cone generalized tangent derivatives Benson proper efficiency solutions optimality conditions |
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