1) Closed convex sets
闭凸集族
2) weakly closed convex set
弱闭凸集
3) closed convex subset
闭凸子集
1.
Let X be a uniformly convex Banach space, E a closed convex subset of X and let T be self map on E.
又若X是一致凸的Banach空间,E是X的闭凸子集,T:E→E为自映射,对任意x0∈E,定义序列xn+1=(1-cn)xn+cnTxn,则迭代序列{xn}n∞=1若收敛于p,则p∈F(T)。
4) closed convex set
闭凸集
1.
Then,three equivalent theorems of continuous parameter set valued submartingale is proved:(1)L 1 wkc (X) valued submartingale is equal to ∫ ΩF τ 1 d p∫ ΩF τ 2 d p for any τ 1,τ 2∈T and τ 1<τ 2;(2)L 1 fc (X) valued submartingale is equal to S 1 F s (F s)cl{E(g/F s);g∈S 1 F t (F t)} for any s,t∈R + and s<t;(3)When X is separable,closed convex set valued subm.
继而证明了连续参数集值下鞅的三个等价定理：（ａ）Ｌ１ｗｋｃ（Ｘ）值下鞅等价于任给τ１＜τ２，τ１，τ２∈Ｔ，∫ΩＦτ１ｄＰ∫ΩＦτ２ｄＰ；（ｂ）Ｌ１ｆｃ（Ｘ）值下鞅等价于任给ｓ，ｔ∈Ｒ＋，ｓ＜ｔ，Ｓ１Ｆｓ（Ｆｓ）ｃｌ｛Ｅ（ｇ｜Ｆｓ），ｇ∈Ｓ１Ｆｔ（Ｆｔ）｝；（ｃ）Ｘ可分时，闭凸集值下鞅等价于任给ｓ，ｔ∈Ｒ＋，ｓ＜ｔ，Ａ∈Ｆｓ，ｃｌ∫ＡＦｓｄＰｃｌ∫ＡＦｔｄＰ。
2.
Some important properties of multifacility location models are to be dealt with, and an optimality condition for multifacility location problem on a closed convex set is put forward.
主要讨论多场址模型的性质，并给出了闭凸集上多场址问题的最优性条件。
5) close convex subset
闭凸子集
6) Feng-closed convex sets
冯-闭凸集
补充资料：凸凸
1.高出貌。
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