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| ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKLY COMPACT CONVEX SET |
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Citation： |
Fu Wantao.ON THE THEOREM OF ARROW-BARANKIN-BLACKWELL FOR WEAKLY COMPACT CONVEX SET[J].Chinese Annals of Mathematics B,1994,15(2):173~180 |
| Page view： 1236
Net amount： 767 |
Authors： |
Fu Wantao; |
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| Abstract： |
This paper studies the known density theorem of \abb. The following main
result is obtained: If $X$ is a Hausdorff locally convex topological
space and $C \subset X$ 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. |
Classification： |
52A07 |
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