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1)  nonexposive map
强渐近有界映射拟非扩展映射
2)  Total asymptotically quasi-nonexpansive mappings
全渐近拟非扩张映射
3)  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。
4)  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。
5)  asymptotically quasi-nonexpansive type mapping
渐近拟非扩展型映象
1.
The author studied the iterative approximation problem of fixed points for asymptotically quasi-nonexpansive type mappings and asymptotically nonexpansive type mappings in Banach spaces under some new condition.
在更一般的条件下研究了Banach空间中渐近拟非扩展型映象和渐近非扩展型映象不动点的迭代逼近问题。
6)  quasi-φ-asymptotically nonexpansive mapping
拟φ-渐近非扩展映像
1.
We introduce a kind of new hybrid projection algorithm for quasi-φ-asymptotically nonexpansive mappings in reflexive,strictly convex and smooth Banach spaces,and establish a new strong convergence theorem by using new analysis techniques,which improves and extends recent some relative results.
在自反、严格凸、光滑Banach空间中给出了一种拟φ-渐近非扩展映像不动点的杂交算法,并利用Lyapunov泛函,广义投影算子和性质(K)等技巧,证明了该算法的强收敛性。
补充资料:非本质映射


非本质映射
inessential mapping

  非本质映射f血班说树园n.n娜想;Hec灿伙侧朋此。丽-p~IIwe],回珍于尽卿(加扛幻toP沁川y一州访川订曰pp吨)一个连续映射f:X~Q”,把拓扑空间x映入n维球体Q月,使得存在一个连续映射g:X~Q”,在Q”的边界兮一’的逆像f一’夕一’上,g与f一致并且把x映人s””中〔即是gxg夕一’).对于一个正规Hausdo叮空间X而言,d加X  
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