| 方向导数和广义锥-预不变凸集值优化问题 |
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| 引用本文： | 余国林.方向导数和广义锥-预不变凸集值优化问题[J].数学学报,2011(5):875-880. |
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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： | 国家自然科学基金资助项目(10901004); 北方民族大学自主科研基金项目(2011) |
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| 摘 要： | 讨论拓扑向量空间中无约束集值优化问题的最优性条件问题.利用集值映射的Dini方向导数,在广义锥-预不变凸性条件下,建立了集值优化问题关于弱极小元和强极小元的最优性充分必要条件.
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| 关 键 词： | 集值优化 方向导数 广义锥-预不变凸集值映射 |
Directional Derivatives and Generalized Cone-Preinvex Set-Valued Optimization |
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| Guo Lin YU Research Institute of Information , System Computation Science,Beifang University of Nationalities,Yinchuan .P.R.China.Directional Derivatives and Generalized Cone-Preinvex Set-Valued Optimization[J].Acta Mathematica Sinica,2011(5):875-880. |
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| Authors: | Guo Lin YU Research Institute of Information System Computation Science Beifang University of Nationalities Yinchuan PRChina |
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| Affiliation: | Guo Lin YU Research Institute of Information and System Computation Science,Beifang University of Nationalities,Yinchuan 750021.P.R.China |
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| Abstract: | This note deals with the optimality conditions of set-valued unconstraint optimization problems in topological vector spaces.Based upon the concepts of Dini directional derivatives and generalized cone-preinvexity for the set-valued mappings, the necessary and sufficient optimality conditions are established for weak and strong minimizer respectively in set-valued optimization problems. |
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| Keywords: | set-valued optimization directional derivative generalized cone-preinvex set-valued mapping |
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