1) non-expansive mapping
非膨胀映象
1.
A new result on the modified Mann iterative sequence with errors of asymptotically non-expansive mapping is proposed and proved in Banach space.
该项工作丰富了张石生,曾六川等学者近年来关于Banach空间中渐进非膨胀映象的不动点的研究工作。
2) asymptotically nonexpansive mapping
渐近非膨胀映象
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。
2.
A new proof method is introduced to study the convergence problems of the modified Mann and Ishikawa iterative process with errors for asymptotically nonexpansive mappings in uniformly convex Banach spaces.
在一致凸的Banach空间中,使用了一种新的证明方法研究了渐近非膨胀映象具误差的修正Mann和Ishikawa迭代程序的收敛性问题; 并且不要求定义域和值域有界,迭代系数更为简单。
3) nonexpansive mapping
非膨胀映射
4) asymptotically nonexpansive mapping
渐近非膨胀映射
1.
A theorem on weak convergence for asymptotically nonexpansive mappings is proved and the result of Passty is generalized.
讨论了具有Frechet可微范数的一致凸Banach空间上的渐近非膨胀映射序列的弱收敛性,推广了Passty的结果。
2.
In this paper, we consider the fixed point problems of asymptotically nonexpansive mappings on the weak compact or compact subset of the Banach space, and under some boundary conditions, proving that these mappings have fixed points.
本文考虑了Banach空间上有界弱紧子集及紧子集上的渐近非膨胀映射的不动点问题,在一定的边界条件假设下,证明了这类映射有不动
5) expansion operator
膨胀映射
1.
Some kinds of expansion operators were proposed and some fixed-point theorems for expansion operators were proved by WANG Shang-zhi.
王尚志给出了若干种膨胀映射的概念,并证明了它们的不动点存在定理。
6) expansion mapping
膨胀映射
1.
Wang Shangzhi, and so forth, defined three expansion mappings which correspond three contraction mappings and proved their fixed point theorems.
本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文[2]中三个不动点定理都是它的推论。
2.
The defines for three kinds of expansion mapping are given some characteristicsand several fixed point theorems for second kind of expansion mapping are discussed in thispaper.
本文论证了第二类膨胀映射的几点性质及不动点定理，特别是证明了在Ｂａｎａｃｈ空间中，第二类膨胀连续性和满性是等价的，从而推广了文献［１］的主要结论。
补充资料：映象
客观事物在人的头脑中以感觉、观念或思想等形式的再现。是客观事物作用于人脑和人脑进行反映活动的结果。实践是客观事物映象的来源。人脑中关于客观事物的映象，都是在具体实践条件下，人脑对客观事物的近似正确的或错误的反映。
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