1) strictly convex
严格凸
1.
In strictly convex Banach space,there is set F(T) of coupled fixed points of T for nonexpansive mapping,and it is a closed convex set.
在严格凸Banach空间中研究了非扩张映象T的耦合不动点集F(T)的闭凸性,获得了当F(T)是Hilbert空间中的闭线性子空间时,Ishikawa迭代的极限元与其初始元的最佳逼近元之间的关系。
2.
By using the renorming of Banach space, it was proved that every Banach space has an equivalent norm which is not strongly rough, and every Banach space has an equivalent norm which is not even, and every real Banach space has an equivalent norm ‖| · ‖| , such that ( X , ‖| · ‖| ) is not strictly convex or smooth.
应用再赋范方法，得到了任意Ｂａｎａｃｈ空间都存在不是粗的等价范数，任意Ｂａｎａｃｈ空间都存在不是平的等价范数等结论，证明了任意实Ｂａｎａｃｈ空间一定存在等价范数‖｜·‖｜，使得（Ｘ，‖｜·‖｜）既不是严格凸的，也不是光滑
3.
This paper uses uniform and simple form to treat uniformly convex, local uniformly convex, weak uniformly convex, weak local uniformly convex, strictly convex, (M) property and (WM) property in Banach space and an equivalence characterization of them in Banach space is given.
用统一且简洁形式处理Banach空间的一致凸、局一致凸、弱一致凸、弱局一致凸、严格凸及(M)性质和(WM)性质,给出了它们的一种等价刻画。
2) strict convexity
严格凸
1.
This indicates that the nonsquare constant is not necessary to be 2~(1/2) in some spaces with P_λproperty for someλ, and that P_λproperty does not imply strict convexity or even uniform convexity.
其次,介绍了关于非方常数,等腰正交的基本定义和基本结论,并且构造了一个具有P_λ性质的Banach空间,计算出了该空间的非方常数,从而说明了对于某特定的λ,具有P_λ性质的赋范空间其非方常数不一定为2~(1/2) ,同时也说明了具有P_λ性质并不能保证赋范空间的严格凸性或者一致凸性。
3) nearly strict convexity
近严格凸
1.
On nearly extreme point and nearly strict convexity of quotient space;
商空间的近端点和近严格凸性
2.
The criterion of nearly extreme point in Orlicz function spaces are given, by the way we get the criterion of nearly strict convexity in the same spaces.
本文绘出了 Ｏｒｌｉｃｚ 函数空间中近端点的判别准则，近而推出了 Ｏｒｌｉｃｚ函数空间近严格凸性的判别准则。
4) strictly B-Vex
严格B-凸
5) pointstrictconvex
点严格凸
6) strict pseudo-convex
严格伪凸
补充资料：凸凸
1.高出貌。
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参考词条