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向量优化问题的几个收敛性结果(英文)

Some Convergence Results for the Vector Optimization Problems
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摘要 在本文中,获得了集合的弱有效元与真有效元的几个收敛性结果.然后,讨 论了集值映射向量优化问题(VP)和它的近似问题(VP)_n,在较强的假设条件下,获得了 (VP)_n的真有效解的几个收敛性结果. In the paper, some convergence results of weakly efficient elements and properly efficient elements of sets are obtained. Afterwards, the vector optimization problem with set-valued map (VP) and its the approximate problems (VP)_n are discussed. Some convergence results of properly efficient solutions of (VP)_n are obtained under stronger assumptions.
出处 《运筹学学报》 CSCD 北大核心 2003年第1期39-45,共7页 Operations Research Transactions
基金 The research was supported by the Natural Science Foundation of Inner Mongolia,China,Project 20001301.
关键词 集合 真有效解 向量空间 弱有效元 真有效元 集值映射 向量优化问题 收敛性 Painleve-Kuratowski convergence, vector optimization problem, (weak) proper efficiency.
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参考文献7

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