1) uniformly τ-opial condition
一致τ-opial条件
1.
Let X be a Banach space, (X,τ) a local convex linear topological space, C a τ-sequence compact convex subset of X, and T an asymptotically nonexpansive mapping with the property (Γ) from C to itself, we give the ergodic convergence theorem for asymptotically nonexpansive mapping under uniformly τ-opial condition.
在一致τ-opial条件下给出了渐近非扩张映照的遍历收敛定理并进行了证明。
2) uniform opial condition
一致Opial条件
1.
In this paper,the criteria of uniform opial condition are given in orlicz sequence space equipped with luxemburg norm and orlicz norm.
本文分别就Orlicz范数及luxemburg范数找到了Orlicz序列空间的一致Opial条件。
3) Opial condition
Opial条件
1.
Banach space,the necessary and sufficient condition for the convergence of implicit iteration process for strictly pseudocontractive maps is the space satisfy the opial condition.
在一致凸Banach空间中证明了有限个严格伪压缩映射族的隐迭代过程弱收敛于不动点的充分条件是要求此空间满足opial条件。
5) Opial'condition
Opial′条件
6) uniform Opial property
一致Opial性质
1.
We get some equivalent conditions of (L) property and uniform Opial property.
本文通过研究了Banach空间X的(L)性质与Opial性质,一致Opial性质,Non strictOpial性质及R(X)几何常数之间的关系,得出了(L)性质与一致Opial性质的等价条件,并得到自反且具有一致Opial性质的Banach空间X具有不动点性质。
补充资料：τ系数
见社会统计学。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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