| 用广义高阶锥方向邻接导数刻画集值优化的超有效解 |
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| 引用本文： | 韩倩倩,徐义红,汪涛,涂相求. 用广义高阶锥方向邻接导数刻画集值优化的超有效解[J]. 吉林大学学报(理学版), 2012, 50(6): 1146-1150 |
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| 作者姓名： | 韩倩倩 徐义红 汪涛 涂相求 |
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| 作者单位： | 南昌大学 数学系, 南昌 330031 |
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| 基金项目： | 国家自然科学基金(批准号:10461007);江西省自然科学基金(批准号:2009GZS0021);江西省教育厅科技项目(批准号:GJJ12010) |
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| 摘 要： | 在赋范线性空间中利用广义高阶锥方向邻接导数研究集值优化问题的超有效解. 在近似锥 次类凸假设下, 借助凸集分离定理和Henig扩张锥的性质, 得到了集值优化问题取得超有效元的Fritz John型必要条件.
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| 关 键 词： | 超有效解 广义m阶C 方向邻接导数 集值优化 |
| 收稿时间： | 2011-12-30 |
Super Efficient Solutions of Set-Valued Optimization with Generalized Higher-Order Cone-Directed Adjacent Derivatives |
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| HAN Qian-qian,XU Yi-hong,WANG Tao,TU Xiang-qiu. Super Efficient Solutions of Set-Valued Optimization with Generalized Higher-Order Cone-Directed Adjacent Derivatives[J]. Journal of Jilin University: Sci Ed, 2012, 50(6): 1146-1150 |
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| Authors: | HAN Qian-qian XU Yi-hong WANG Tao TU Xiang-qiu |
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| Affiliation: | Department of Mathematics, Nanchang University, Nanchang 330031, China |
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| Abstract: | In normed linear spaces, the super efficient solutions of set-valued optimization were investigated with generalized higher order cone directed adjacent derivatives. Under the assumption of near cone subconvexlikeness, with the help of separate theorem for convex sets and the properties of Henig
dilating cone, the type of Fritz John necessary optimality condition was established for set valued optimization problem to obtain its super efficient elements. |
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| Keywords: | super efficient solution cone directed mth-order generalized adjacent derivative set valued optimization |
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