2,736 research outputs found
GENERALIZATIONS OF KY FAN'S MATCHING THEOREMS AND KKM-MAP THEOREMS
No full text[[abstract]]本文旨在推廣格理斯伯格定點定理(Glicksberg fixed point theorem
1952)至卡古它尼因子分解函數(Kakutani factorizable multfunction)
,並利用此格理斯伯格定點定理的推廣去推展環積(Ky fan 1984)關於凸集
閉(開)覆蓋匹配定理(matching theorems for closed(open) covering)
與環積(1961)KKM-map定理.
The purpose of this paper is to extend the Glicksberg fixed
point theorem (1952) to the case of Kakutani factorizable
multifunctions and we use this generalization of Glicksberg
fixed point theorem to generalize Ky fan's matching theorems
for closed(open) coverings of convex sets(1984) and Ky fan's
KKM-map theorems(1961).
The purpose of this paper is to extend the Glicksberg fixed
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