| 一类广义凸集值映射优化问题弱有效解的最优性条件 |
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| 引用本文： | 宋永明,胡君.一类广义凸集值映射优化问题弱有效解的最优性条件[J].成都大学学报(自然科学版),2014(1):26-28. |
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| 作者姓名： | 宋永明 胡君 |
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| 作者单位： | [1]昆明铁路机械学校,云南昆明650208 [2]云南省国有资产监督管理委员会,云南昆明650031 |
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| 摘 要： | 在序线性拓扑空间中定义了近似C-次类凸映射的概念,然后应用向量拓扑空间中的凸集分离定理建立了近似C×D-次类凸的择一定理,最后运用此定理获得了弱有效解意义下的集值向量优化问题的最优性条件.
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| 关 键 词： | 集值映射 近似C-次类凸 择一定理 弱有效解 最优性条件 |
Optimality Conditions of Weak Efficient Solutions for Optimization Problems of One Class of Generalized Convex Set-valued Mapping |
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| SONG Yongming,HU Jun.Optimality Conditions of Weak Efficient Solutions for Optimization Problems of One Class of Generalized Convex Set-valued Mapping[J].Journal of Chengdu University (Natural Science),2014(1):26-28. |
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| Authors: | SONG Yongming HU Jun |
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| Institution: | 1.The Rsfilway Mecharfical School of lfimnfmg, Ifimnfing 650208, Cfma; 2. State-otmed Assets Supervision and Administration Ccnmssion d Yunnan Provincial People＇s Govermment,Kunming650031,China) |
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| Abstract: | This paper defines the concept of nearly C-subconvexlike function in topological vector spaces, and then estabfishes the alternative theorem of the nearly-subconvexlike function by the convex set separa- tion theorem. Finally,using the alternative theorem, we obtain the optimality conditions of weak efficient so- lutions for the optimization problems with generalized equality and inequality comtraints. |
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| Keywords: | set-valued mapping nearly C-subconvexlike function theorem of the alternative weak efficientsolution optimality condition |
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