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ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKIY COMPACT CONVEX SET
引用本文:FU WANTAO(Department of Matehematics,Nanchang University,Nanchang 330047,Jiangxi,China). ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKIY COMPACT CONVEX SET[J]. 数学年刊B辑(英文版), 1994, 0(2)
作者姓名:FU WANTAO(Department of Matehematics  Nanchang University  Nanchang 330047  Jiangxi  China)
作者单位:Department of Matehematics,Nanchang University,Nanchang 330047,Jiangxi,China
摘    要:ONTHETHEOREMOFARROW-BARANKIN-BLACKWELLFORWEAKIYCOMPACTCONVEXSET¥FUWANTAOAbstract:ThispaperstudiestheknowndensitytheoremofArro...


ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKIY COMPACT CONVEX SET
FU WANTAO. ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKIY COMPACT CONVEX SET[J]. Chinese Annals of Mathematics,Series B, 1994, 0(2)
Authors:FU WANTAO
Abstract:This paper studies the known density theorem of Arrow- Barankin-Blackwell. T he following main result is obtained: If X is a Hausdorff locally convex topological space and C X is a closed convex cone with bounded base, then for every nonempty weakly compact convex subset A, the set of positive proper efficient points of A is dense in the set of efficient points of A.
Keywords:Positive proper efficient point   Efficient point   Convex cone  Hausdorff space.
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