1) uniform protruding Z-spaces
一致凸Z-空间
1.
Based on the concept of Z-spaces,B-Z-spaces and conjugate Z-spaces,the definition of self-opposite Z-spaces and uniform protruding Z-spaces is put forward,and their qualities are obtained as well.
在提出的Z-空间、B-Z-空间和共轭Z-空间概念的基础上,提出了自反Z-空间和一致凸Z-空间的概念,同时探讨了自反Z-空间与一致凸Z-空间的有关性质。
2) uniformly convex space
一致凸空间
1.
Let X be a uniformly convex space, G a sunset of X.
设X是一致凸空间，G为X中太阳集，R。
3) uniformly convex Banach space
一致凸Banach空间
1.
Approximations for the common fixed points of finite nonexpansive mappings in the uniformly convex Banach spaces;
一致凸Banach空间中有限个非扩张映射的公共不动点的逼近
2.
Convergence of Ishikawa iterative sequences in uniformly convex Banach spaces;
一致凸Banach空间Ishikawa迭代序列收敛性
3.
Let X be a uniformly convex Banach space,whose dual space X* has the KK property.
设X为实一致凸Banach空间,其共轭空间X*具有KK性质,C为X的非空有界闭凸子集。
4) uniformly convex Banach spaces
一致凸Banach空间
1.
Approximating to fixed points of asymptotically nonexpansive mappings in uniformly convex Banach spaces;
逼近一致凸Banach空间中渐近非扩张映象的不动点
2.
By using modified Ishikawa iterative process,the author proves that the iterative sequence converges strongly to the fixed point of asymptotically non-expansive mapping in uniformly convex Banach spaces.
在一致凸Banach空间中,证明了修改的Ishikawa迭代强收敛到渐近非扩张映像不动点的收敛定理。
3.
By constructing modified Ishikawa iterative algorithm,this paper proves that iterative sequence generated by the iterative algorithm converges strongly to the fixed point of asymptotically non-expansive mapping in uniformly convex Banach spaces.
在一致凸Banach空间中,建立了修改的Ishikawa迭代算法强收敛到渐近非扩张映像不动点的收敛定理。
5) uniform convex Banach space
一致凸Banach空间
1.
The definitions of generalized and strongly generalized uniform convex Banach spaces are given.
引入了广义一致凸Banach空间和强广义一致凸Banach空间的概念,证明了一致凸Banach空间是强广义一致凸Banach空间,广义一致凸Banach空间X是弱局部一致凸和严格凸的;X中任一元在以0为顶点的闭凸锥中有惟一最佳逼近;强广义一致凸Banach空间中任一元在其闭凸子集中有惟一的最佳逼近元。
2.
In this paper, the writer makes a research of the convergence of the new iterative process of non-expansive mapping in uniform convex Banach spaces.
在一致凸Banach空间中,研究了非扩张映象的一个新的迭代过程的收敛性,其结果改进和推广了已有的相关结果。
3.
The constrution and convergence of the Mann iterative sequece for nonexpansive mappings with boundary condition in uniform convex Banach spaces.
在一致凸Banach空间中 ,研究了带边界条件的非扩张映射的Mann迭代列的构造和收敛问题 。
6) Unanimity convex Hilbert spaces
一致凸Hilbert空间
补充资料：完全化(一致空间X的)
完全化(一致空间X的)
pace X] ' completion (of a uniform
完全化(一致空间X的)[~pleti佣(of au‘匆n”sPa理X);一(脚圈扣Me少目m 11碑比lp匆砚TaaX)] 分离完全一致空间(co帅lete uniform spaCe)X，存在一致连续映射i:X~X，使得对任何从X到分离完全一致空间y的一致连续映射f，存在唯一的一致连续映射g:戈~Y，使得f=901.子空间i(x)在戈中稠密，且X中近域在ixi下的象是i(X)中的近域;它们在XxX中的闭包组成X中近域的基本系.如果X是可分离的，则i是单射(容许X和i(X)等同).子空间AC=X的分离完全化同构于i(A)C=X的闭包.一致空间的积的分离完全化同构于在积中作为因子的空间的分离完全化的积. X存在性的证明实际上推广了从有理数集到实数集的Cantor构造.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条