| 拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性 |
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| 引用本文： | 凌晨.拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性[J].应用数学学报,2001,24(1):66-70. |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 浙江财经学院统计运筹系,杭州,310012 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 本文研究局部凸的Hausdorff拓扑向量空间中锥拟凸多目标规划锥有效解集的连通性问题。利用广义鞍点定理，证明了目标映射为一对一的锥拟凸多目标规划的锥有效解集是连通的。
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| 关 键 词： | 锥有效解 连通性 拓扑向量空间 锥拟凸多目标规划 |
CONNECTEDNESS OF THE CONE EFFICIENT SOLUTION SET OF CONE QUASICONVEX MULTIOBJECTIVE PROGRAMMING IN TOPOLOGICAL VECTOR SPACE |
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| LING CHEN.CONNECTEDNESS OF THE CONE EFFICIENT SOLUTION SET OF CONE QUASICONVEX MULTIOBJECTIVE PROGRAMMING IN TOPOLOGICAL VECTOR SPACE[J].Acta Mathematicae Applicatae Sinica,2001,24(1):66-70. |
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| Authors: | LING CHEN |
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| Abstract: | This paper study the connectedness of the set of cone efficient solutions for cone quasiconvex multiobjective programming in locally convex Hausdorff topological vector space.By using the generalized saddle theorem, under the condition that the objective mapping is one-for-one and cone quasiconvex, we prove the connectedness results of the set of cone efficient solutions to multiobjective programming. |
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| Keywords: | Multiobjective programming cone efficient solution cone quasiconvex mapping generalized saddle theorem connectedness |
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