给出了赋范共轭空间的点与(紧)凸集、紧凸集之间被原空间中的点分隔的定理。
It is shown that a point and a (compact) convex set are separated in this paper, and two compact convex sets are separated by a point of the original space in normed dual space.
研究了序凸集的一些运算性质,得到了紧序凸集的序端点表示定理。
The representation theorem with order-extremal points is obtained for compact order-convex sets.
即证明了每一上半连续非空紧凸值集值映射至少存在一个该映射不动点集的极小连续本质集,以及该极小连续本质集是连通的。
It is proved that there exist at least one minimal continuously essential set of fixed points, and the minimal continuously essential set is connected.
即证明了每一上半连续非空紧凸值集值映射至少存在一个该映射不动点集的极小连续本质集,以及该极小连续本质集是连通的。
It is proved that there exist at least one minimal continuously essential set of fixed points, and the minimal continuously essential set is connected.
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