| TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET－VALUED MAPPING |
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| 作者姓名： | LI YUANXI |
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| 摘 要： | ＴＯＰＯＬＯＧＩＣＡＬ ＳＴＲＵＣＴＵＲＥ ＯＦ ＥＦＦＩＣＩＥＮＴ ＳＥＴ ＯＦ ＯＰＴＩＭＩＺＡＴＩＯＮ ＰＲＯＢＬＥＭ ＯＦ ＳＥＴ－ＶＡＬＵＥＤ ＭＡＰＰＩＮＧ ￥ＬＩＹＵＡＮＸＩＡｂｓｔｒａｃｔ：Ｔｈｉｓｐａｐｅｒｉｓｃｏｎｃｅｒｎｅｄｗｉ...
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| 关 键 词： | 固定值映射 向量最优化 有效解 锥凸面 拓扑性质 |
TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING |
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| LI YUANXI.TOPOLOGICAL STRUCTURE OF EFFICIENT SET OF OPTIMIZATION PROBLEM OF SET-VALUED MAPPING[J].Chinese Annals of Mathematics,Series B,1994,15(1):115-122. |
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| Authors: | LIYUANXI |
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| Abstract: | This paper is concerned with the topological structure of efficient sets for optimizationproblem of set-valued mapping. It is proved that these sets are closed or. connected under someconditions on cone-continuity, cone-convexity and cone-quasiconvexity. |
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| Keywords: | Optimization of set-valued mapping Vector optimization Efficient solution Cone-convexity Cone-quasiconvexity Closedness Connectedness |
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