| 生成锥内部凸-锥-类凸集值优化问题的标量化和鞍点 |
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| 引用本文： | 余国林.生成锥内部凸-锥-类凸集值优化问题的标量化和鞍点[J].应用泛函分析学报,2012(2):206-212. |
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| 作者姓名： | 余国林 |
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| 作者单位： | 北方民族大学信息与系统科学研究所 |
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| 基金项目： | 国家青年自然科学基金(10901004);国家民委自然科学基金(09BF06);宁夏自然科学基金项目(NZ0959) |
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| 摘 要： | 讨论集值向量优化的标量化和鞍点问题.在生成锥内部凸-锥-类凸假设下,建立了集值向量优化问题在（弱）有效和Benson真有效意义下的标量化定理和鞍点定理.
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| 关 键 词： | 量化 鞍点 生成锥内部凸-锥-类凸 弱有效性 Benson真有效性 |
Scalarization and Saddle-point for Ic-cone-convexlike Set-valued Optimization Problems |
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| YU Guolin.Scalarization and Saddle-point for Ic-cone-convexlike Set-valued Optimization Problems[J].Acta Analysis Functionalis Applicata,2012(2):206-212. |
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| Authors: | YU Guolin |
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| Institution: | YU Guolin Research Institute of Information and System Computation Science,Beifang University of Nationalities,Yinchuan 750041,China |
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| Abstract: | This paper studies the scalarization and saddle-point theorems for vector optimization with set-valued maps.Under the assumption of the ic-cone-convexlikeness,the scalarization and saddle-point theorems for vector optimization with set-valued maps are established in sense of(weakly) efficiency and Benson proper efficiency. |
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| Keywords: | scalarization saddle-point ic-cone-convexlikeness weakly efficiency Benson proper efficiency |
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