| 集值优化问题超有效元的导数型最优性条件 |
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| 引用本文： | 李太勇,黄敏.集值优化问题超有效元的导数型最优性条件[J].扬州大学学报(自然科学版),2011(4). |
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| 作者姓名： | 李太勇 黄敏 |
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| 作者单位： | 浙江农林大学天目学院;浙江农林大学经济管理学院; |
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| 基金项目： | 浙江省自然科学基金资助项目(Y7100544); 教育部人文社科青年基金资助项目(10YJC790096); 浙江省高校科研基金资助项目(Y201017147) |
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| 摘 要： | 借助修正的Dubovitskij-Miljutin切锥和集值函数在这种切锥下定义的切导数,讨论了集值优化问题在超有效元意义下的Fritz John必要条件,当目标函数为严格伪凸集值映射、约束函数为弱伪凸集值映射时,得到了超有效元意义下的Kuhn-Tucker充分条件.
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| 关 键 词： | Dubovitskij-Miljutin切锥 超有效元 近似次类凸 集值优化 |
On the derivative optimality conditions of super efficiency in set-valued optimization |
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| LI Tai-yong a,HUANG Minb.On the derivative optimality conditions of super efficiency in set-valued optimization[J].Journal of Yangzhou University(Natural Science Edition),2011(4). |
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| Authors: | LI Tai-yong a HUANG Minb |
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| Institution: | LI Tai-yong a*,HUANG Minb (a.Tianmu Coll,b.Sch of Econ & Manage,Zhejiang Agric & For Univ,Hangzhou 311300,China) |
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| Abstract: | This paper gives a new definition of a derivative of set-valued functions in terms of Dubovitskij-Miljutin cone.Fritz John necessary conditions for the set-valued optimization problem to attain its super efficient solutions are obtained by using the derivative.Under those assumption of convexity of new kind sufficient conditions for the set-valued optimization problem its super efficient solutions are obtained. |
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| Keywords: | Dubovitskij-Miljutin cone super efficient elements nearly-cone-subconvexlikeness set-valued optimization |
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