| Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions |
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| 引用本文： | Qiu-sheng Qiu. Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions[J]. 应用数学学报(英文版), 2007, 23(2): 319-328. DOI: 10.1007/s10255-007-0374-3 |
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| 作者姓名： | Qiu-sheng Qiu |
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| 作者单位： | 1，2 |
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| 基金项目： | Supported by the Natural Science Foundation of Zhejiang Province, China （M103089）. |
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| 摘 要： | In this paper,we study Henig efficiency in vector optimization with nearly cone-subconvexlikeset-valued function.The existence of Henig efficient point is proved and characterization of Henig efficiencyis established using the method of Lagrangian multiplier.As an interesting application of the results in thispaper,we establish a Lagrange multiplier theorem for super efficiency in vector optimization with nearly cone-subconvexlike set-valued function.
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| 关 键 词： | 集值函数 向量优化 近锥微凸 Henig有效点 |
| 收稿时间： | 2005-12-23 |
| 修稿时间： | 2005-12-232006-03-14 |
Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions |
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| Qiu-sheng Qiu. Henig Efficiency in Vector Optimization with Nearly Cone-subconvexlike Set-valued Functions[J]. Acta Mathematicae Applicatae Sinica, 2007, 23(2): 319-328. DOI: 10.1007/s10255-007-0374-3 |
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| Authors: | Qiu-sheng Qiu |
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| Affiliation: | (1) Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, China;(2) Department of Mathematics, Shanghai University, Shanghai, 200436, China |
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| Abstract: | In this paper,we study Henig efficiency in vector optimization with nearly cone-subconvexlike set-valued function.The existence of Henig efficient point is proved and characterization of Henig efficiency is established using the method of Lagrangian multiplier.As an interesting application of the results in this paper,we establish a Lagrange multiplier theorem for super efficiency in vector optimization with nearly cone- subconvexlike set-valued function. |
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| Keywords: | Set-valued function vector optimization Lagrangian multiplier theorem Henig efficiency nearly eone-subeonvexlikeness |
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