Connectedness of Cone Superefficient Point Sets in Locally Convex Topological Vector Spaces

被引:0
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作者
Y. D. Hu
C. Ling
机构
[1] Wenzhou University,School of Mathematics and Information Science
[2] Zhejiang Institute of Finance and Economics,Department of Fundamental Science
关键词
cone efficient point set; cone superefficient point set; cone weakly compact set; connectedness;
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摘要
This paper studies the connectedness of the cone superefficient point set in locally convex topological vector spaces. First, we prove a scalarization theorem for a cone superefficient point set. From this result, we obtain the connectedness of a cone superefficient point set under the conditions that the set is cone convex and cone weakly compact.
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页码:433 / 446
页数:13
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