| 集值映射向量优化问题弱有效解的本质性及本质连通区 |
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| 引用本文： | 宋伟才,向淑文. 集值映射向量优化问题弱有效解的本质性及本质连通区[J]. 江西科学, 2010, 28(6): 727-730 |
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| 作者姓名： | 宋伟才 向淑文 |
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| 作者单位： | [1]江西中医学院计算机学院,江西南昌330004 [2]贵州大学理学院,贵州贵阳550025 |
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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： | 关于集值映射向量优化问题,在一定条件下得到了弱有效解的存在性,通过一致拓扑度量,研究了弱有效解集的稳定性,证明了当集值映射形成了一个Baire空间时,集值映射向量优化问题的弱有效解是稳定的,并进一步讨论了解集的本质连通区。
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| 关 键 词： | 集值映射 弱有效解 本质解 本质连通区 |
Essential Property and Essential Components of Weak Efficient Solutions of Vector Optimization Problems with Set-valued Maps |
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| SONG Wei-cai,XIANG Shu-wen. Essential Property and Essential Components of Weak Efficient Solutions of Vector Optimization Problems with Set-valued Maps[J]. Jiangxi Science, 2010, 28(6): 727-730 |
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| Authors: | SONG Wei-cai XIANG Shu-wen |
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| Affiliation: | 1.Computer Department,Jiangxi University of Traditional Chinese Medicine,Jiangxi Nanchang 330004 PRC;2.Science Institute,Guizhou University,Guizhou Guiyang 550025 PRC) |
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| Abstract: | With regard to set-valued maps vector optimization problem,under certain conditions has been the existence of weakly efficient solutions.By the same metric topology to study the stability of weakly efficient solution set.Proved that when the set-valued maps form a Baire space,weak efficient solutions of vector optimization problems with set-valued maps are stable,and further discussion about the essential component. |
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| Keywords: | Set-valued maps Weak efficient solution Essential solution Essential component |
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