1) uniformly convex dual
一致凸对偶
1.
In this paper, we discuss the iterative solution of the equation f=x+Tx for an accreative oper-ator T in Banach spaces with a uniformly convex dual, generalize and improve Chidume and Zhu s results.
在具有一致凸对偶空间的Banach空间中讨论了关于增生算子T的方程f=x+Tx的迭代解,其结果推广和改进了Chidume和Zhu的结果。
2) convex duality
凸对偶
3) dual convex cone
对偶凸锥
4) uniformly convex
一致凸
1.
Convergence theorems of Ishikawa iteration for nonexpansive mapping in a uniformly convex Banach space;
一致凸Banach空间中非扩张映象的Ishikawa迭代收敛定理
2.
The existence and Uni queness theorems of common coupled fixed point and coincidence points for a sequence of binary contraction mappings,canceled all continuous assumptions in uniformly convex Banach space.
在一致凸 Banach 空间中,获得了二元非线性压缩映象对和映象列的公共耦合不动点的存在与唯一性定理,并对已有的结果进行了推广。
3.
It reaches the conclusion that the continuous multi_valued asymptotically nonexpansive on the nonempty closed convex and bounded subset of a uniformly convex Banach space has a fixed point.
本文借助于渐近中点、渐近半径的概念,得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。
5) UR point
一致凸点
6) uniform convexity
一致凸
1.
When p > 1, necessary and sufficient condition for d(w,p) to be uniform non-square is sup ,and obtain that uniform convexity is equivalent to uniform nonsquare.
当p>1时,d(w,p)一致非方的充分必要条件是,从而得到了一致非方与一致凸等价。
2.
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。
补充资料:凸凸
1.高出貌。
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