| 不可微向量优化问题严有效解的最优性条件 |
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| 引用本文： | 李太勇,徐义红.不可微向量优化问题严有效解的最优性条件[J].运筹学学报,2008,12(1):43-50. |
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| 作者姓名： | 李太勇 徐义红 |
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| 作者单位： | 1. 南昌大学数学系,南昌,330031;浙江林学院天目学院,浙江临安,311300
2. 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
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the Foundation of Education Section of Excellent Doctorial Theses
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江西省自然科学基金 |
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| 摘 要： | 本文研究向量优化问题在严有效解意义下的最优性条件.在局部凸Hausdorff拓扑线性空间中.在近似锥一次类凸假设下,利用凸集分离定理得到了最优性必要条件.借助Gateaux导数引进了几种新的凸性,在新的凸性假设下得到了最优性充分条件.
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| 关 键 词： | 运筹学 多目标规划 最优性条件 广义次类凸性 严有效解 Operations research multiobjective programming optimality condition generalized subconvexlikeness strictly efficient solution 可微 向量优化问题 有效解 最优性条件 Vector Optimization Problem Nondifferentiable Efficient Solutions Conditions assumption sufficient conditions convexity introduced derivatives necessary conditions derived separation theorem convex sets generalized vector spaces |
| 修稿时间： | 2006年4月5日 |
Optimality Conditions for Strictly Efficient Solutions of Nondifferentiable Vector Optimization Problem |
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| Li Taiyong,Xu Yihong.Optimality Conditions for Strictly Efficient Solutions of Nondifferentiable Vector Optimization Problem[J].OR Transactions,2008,12(1):43-50. |
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| Authors: | Li Taiyong Xu Yihong |
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| Abstract: | Optimality conditions for vector optimization problem to artain strictly efficient solutions are considered in the paper.Under generalized cone-subconvexlikeness for vector valued mappings in locally-convex Hausdorff topological vector spaces,by using separation theorem for convex sets,optimality necessary conditions are derived.Several kinds of new convexity are introduced with Gateaux derivatives as an aid,under the assumption of which optimality sufficient conditions are obtained. |
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| Keywords: | Operations research multiobjective programming optimality condition generalized subconvexlikeness strictly efficient solution |
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