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1)  k-strictly convex space
k-严格凸空间
2)  K strictly convex(K smooth) locally convex spaces
K严格凸(K光滑)的局部凸空间
3)  strictly convex space
严格凸空间
1.
Fixed points of nonexpansive mappings in strictly convex spaces;
严格凸空间中非扩张映象的不动点级的结构
2.
In this paper the properties of the strictly convex space are studied further.
本文进一步研究了严格凸空间的性质,并给出了等距算子为线性算子的一个充分条件。
4)  k-strict convexity
k-严格凸
1.
The definitions of k-strict convexity and k-smoothness in locally convex spaces are given by k-dimension convex volume and it is proved that they are the extension of corresponding concepts in Banach spaces and dual(X,P).
利用k维凸体体积给出了局部凸空间中k-严格凸和k-光滑性的定义,证明了它们是B anach空间和偶对(X,P)相应概念的推广,并指出了它们之间的对偶关系。
5)  K-strictly convex
K-严格凸
1.
In this paper,we give two new sufficient and necessary conditions for Banach spaces to be K-strictly convex by using Hahn-Banach continuation theorem and the number which is similar to K-dimensions volume.
利用Hahn-Banach延拓定理或与K-维体积相似的数给出了Banach空间K-严格凸的两个新的充要条件。
6)  strictly convex Banach space
严格凸Banach空间
1.
By using point valued for set-valued mappings in strictly convex Banach space,a sufficient and necessary condition for Ishikawa multistep iterative processing with errors for asymptotically quasi-nonexpansive mappings of set-valued to converge to coupled fixed point is proved.
在严格凸Banach空间中,用集值映象点值化方法,证明了集值渐近准非扩张映象带误差的三步迭代列收敛于耦合不动点的充要条件。
2.
In strictly convex Banach space,there F(T)is set of coupled fixed points of T for nonexpansive mapping,then F(T)is(closed convex set.
在严格凸Banach空间中,研究可点值化集值非扩张映象T的耦合不动点集F(T)的闭凸性。
3.
We prove the main result as follows:Let K be a nonempty closed convex subset of a strictly convex Banach space E,T:K→K be a continuous quasi-nonexpanaive mapping,and let T(K) be contained in a compact subset of K,iterative scheme {x_n}~~∞__(n=1)definited as follow:(IS)y_n=(1-β_n)x_n+β_nTx_n,n≥1, x_(n+1)=(1-α_n)x_n+α_nTy_n,n≥1,where{α_n}and {β_n}satisfy certain condition,then{x_n}c.
研究了严格凸Banach空间中非空间凸子集上拟非扩展映象的不动点的迭代逼近问题,主要证明了:设E是严格凸Banach空间,K为E的闭凸子集,T:K→K为连续拟非扩展映象。
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