1) 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
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 mappings
渐近非扩张映射
1.
Weak convergence theorem of asymptotically nonexpansive mappings in Banach space;
Banach空间中渐近非扩张映射的弱收敛定理
2.
In particular, fixed point problems of asymptotically nonexpansive mappings in product space are discussed, the convergence problems of the new interative sequence for nonexpansive mappings under specific conditions are discussed in this thesis.
特别讨论了积空间中渐近非扩张映射的不动点问题,研究了某些非扩张映射迭代序列在特定条件下的收敛性问题。
5) asymptotically nonexpansive mapping
渐近非扩张映射
1.
Convergence theorems for asymptotically nonexpansive mappings in Banach space;
Banach空间中渐近非扩张映射的收敛定理
2.
First give the definition of a new mapping—(L-α) uniformly lipschitz asymptotically nonexpansive mapping on a uniforn convex Banach space,then construct three-step iterative sequences of(L-α) uniformly lipschitz asymptotically nonexpansive mapping in this subset.
首先定义一致凸Banach空间某非空紧子集上的一种新的映射—(L-α)一致李普希兹渐近非扩张映射,在该子集上构造关于(L-α)一致李普希兹渐近非扩张映射的三步迭代序列,然后来讨论三步迭代序列的收敛性。
3.
A convergence of Ishikawa iteration sequence with errors is investigated in this paper for asymptotically nonexpansive mapping in uniformly convex Banach spaces.
在一致凸 Banach(巴拿赫 )空间中研究了渐近非扩张映射的带误差的Ishikawa迭代序列的收敛性。
6) 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。
补充资料：膨胀映射
膨胀映射
dOatation mapping
膨胀映射晒.怕位犯“.脚娜毛:pae山“p，，山eec:oTo6-Pa狱e二el【补注】同膨胀(dihtation).扩张映射(expandingmaPPing)(在流形理论中的).级数的加稀【曲涌加成a，，如;pa36a.月e二ep朋a} 在一个级数的相邻两项之间加人任何有限个零.对于级数 艺。*，(*) k=0加稀的级数具有下列形式:uo+0+·”+0+“一+0+…+0+“2+·‘’.级数的加稀不影响级数的收敛性，但是可能会破坏级数的可和性(一个按某种求和法可和的、其和为s的级数，在加稀以后可能变成按这种求和法根本不可和的，或者虽然可和，但其和a不等于s).
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参考词条