1) asymptoticallyκ-strict pseudo-contraction
渐近κ-严格伪压缩
1.
In the forth section, weak convergence theorems for asymptoticallyκ-strict pseudo-contraction in Hilbert space are proved.
第四章从迭代算子的发展方向上,讨论Hilbert空间中渐近κ-严格伪压缩映像的弱收敛性。
2) κ-strict pseudo-contraction
κ-严格伪压缩
1.
In the third section, the modified Mann algorithm in 2-uniformly smooth Banach spaces generates a sequence {x_n} by the formula:Where C is a closed convex subset of a 2-uniformly smooth Banach space, T:C→C is aκ-strict pseudo-contraction.
本文第二个主要工作以迭代的发展改进理论为依据,第三章从迭代形式发展的方向上,讨论了在2-一致Banach空间中,通过修正的Mann迭代:其中C是2-一致Banach空间中的闭凸子集,T:C→C是κ-严格伪压缩映像,当{α_n}满足适当的条件,由上述迭代产生的序列{x_n}弱收敛到T的某个不动点。
2.
A strong convergence theorem is established by means of a new Ishikawa-like iterative algorithm for κ-strict pseudo-contractions in Hilbert spaces.
为了得到强收敛定理,该文利用Hilbert空间中闭凸子集的一个序列和一个给定向量作适当的凸组合修改Mann迭代算法,在Hilbert空间中给出了一个新的κ-严格伪压缩修正的Mann迭代算法——似Ishikawa迭代算法,并且建立了该算法的强收敛定理。
3) k-strictly asymptotically pseudocontractive mapping
k-严格渐近伪压缩映象
4) strictly asymptotically pseudocontractive mapping
严格渐近伪压缩映象
1.
This paper adopts a new proof method to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for strictly asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings in uniformly convex Banach spaces.
在一致凸的B anach空间中,采用新的证明方法研究了严格渐近伪压缩映象和渐近非膨胀映象带误差的修正的M ann和Ish ikaw a迭代程序的收敛性问题,不要求定义域、值域有界,且迭代系数更简单。
5) p-strictly asymptotically pseudocontractive mapping
p-严格渐近伪压缩映象
1.
The purpose of this paper is to study the convergence problems of the modified Ishikawa iterative process with errors for p-strictly asymptotically pseudocontractive mappings in p-uniformly convex Banach spaces (1<p<∞), and the boundedness of the domain and range can be dropped.
在p-一致凸的Banach空间中(1
6) k-strictly asymptotically rseudocontractive mappings
k-严格渐近伪压缩映射
补充资料：渐近公式
渐近公式
asymptotic formula
渐近公式}朋yolp肠cl栩.lula二~Irror~绷如甲My月a} 包含符号。，O或等价记号一(函数的渐近相等(as，mPtotiee甲ality))的公式 渐近公式的例f 牡n一丫二一x十口(义舌%*0、 )5戈l+‘)(义‘)，、。0;茸、十芜川、一丫’℃一，关二 “(一‘，一下:_于“一笑(7r以)是不超过二的素数的个数，. ‘M，B因脚月撰【补注】关于符号。O和一的意义，例如见阵11或!AZ}.
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