| 集值优化导数型最优性条件 |
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| 引用本文： | 朱见广,郝彬彬.集值优化导数型最优性条件[J].应用泛函分析学报,2010,12(4):335-339. |
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| 作者姓名： | 朱见广 郝彬彬 |
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| 作者单位： | [1]西安电子科技大学应用数学系,西安710071 [2]中国石油大学华东数学与计算科学学院,青岛266555 |
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| 摘 要： | 借助于相依上导数的概念,建立了锥次类凸集值映射的导数型择一性定理,并利用择一性定理获得了集值优化导数型的最优性必要条件和充分条件.
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| 关 键 词： | 集值优化 相依上导数 锥次类凸 择一性定理 弱有效解 |
Derivative Type Optimality Conditions of Set-Valued Optimization |
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| ZHU Jianguang,HAO Binbin.Derivative Type Optimality Conditions of Set-Valued Optimization[J].Acta Analysis Functionalis Applicata,2010,12(4):335-339. |
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| Authors: | ZHU Jianguang HAO Binbin |
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| Institution: | 1. Department of Applied Mathematics, Xidian University, Xi＇ an 710071, China 2. School Mathematics and Computational Science, China University of Petroleum, Qingdao 266555, China) |
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| Abstract: | We establish a derivative type theorem of the alternative for subconvexlike set-valued maps by the concept of tangent derivative; using this theorem, the derivative type necessary and sufficient optimality conditions of set-valued maps are given. |
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| Keywords: | set-valued optimization tangent derivative cone subconvexlikeness theorem of the alternative weak efficient solution |
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