| 拓扑空间中锥拟凸映射多目标优化问题有效解集的连通性 |
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| 引用本文： | 凌晨. 拓扑空间中锥拟凸映射多目标优化问题有效解集的连通性[J]. 运筹学学报, 2004, 8(3): 19-28 |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 浙江财经学院信息学院,杭州,310012 |
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| 摘 要： | 本文研究拓扑空间中锥拟凸多目标优化问题的有效解集的连通性．在目标映射是上连续和拟凸(次严格拟凸)的条件下，证明了锥弱有效(有效)解集是连通的.进一步，在是连续和强拟凸的条件下，证明了锥有效解集是路连通的.
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| 关 键 词： | 拓扑空间 锥拟凸 连通性 有效解集 路连通性 锥次严格拟凸 |
Connectedness of Efficient Solution Set of Multiobjective Optimization with Cone Quasiconvex Mapping in Topological Spaces |
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| Abstract. Connectedness of Efficient Solution Set of Multiobjective Optimization with Cone Quasiconvex Mapping in Topological Spaces[J]. OR Transactions, 2004, 8(3): 19-28 |
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| Authors: | Abstract |
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| Abstract: | In this paper, we prove that the cone weak efficient (cone efficient) solution set is connected under the condition that the objective mapping / is continuous and K-quasiconvex ( K-secondary strictly quasiconvex ) on A, in general topological vector spaces. Further, we also prove that cone efficient solution set is path connected under the condition that the objective mapping f is continuous and K-strong quasiconvex on A. |
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| Keywords: | OR cone quasiconvexity cone secondary strictly quasiconvexity efficient solution connectedness path connectedness |
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