1) nonexpansive mapping
非扩展映像
1.
By virtue of new analysis techniques,common fixed points of a pair of nonexpansive mappings in Banach spaces are studied,the weakly convergence of the sequence {xn} defined by xn+1=αnxn+(1-αn)(βnTxn+(1-βn)STxn)is shown,many recent corresponding results are extended to more general setting.
使用新的分析技巧,研究了Banach空间中一对非扩展映像的公共不动点问题,主要证明了由下式定义的迭代{xn}:xn+1=αnxn+(1-αn)(βnTxn+(1-βn)STxn)的弱收敛性,将近期许多相关结果推广到更一般情形。
2) asymptotically nonexpansive mapping
渐进非扩展映像
1.
Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection.
在Mann的迭代算法基础上,运用Banach空间中的广义投影,使渐进非扩展映像每次迭代生成的序列都投影到一个闭凸的集合中。
2.
Without making the usual basic assumption that:∑∞n=1(k_n-1)<∞ or∑∞n=1(k~p_n-1)<∞,fixed point iterative construction problem is studied for a class of concrete asymptotically nonexpansive mappings,and several strong convergence results are obtained,where p>1 is fixed real number and ｛k_n｝ is the asymptotic sequence of asymptotically nonexpansive mappings under considered.
在没有基本假设∑∞n=1(kn-1)<∞或∑∞n=1(knp-1)<∞的前提下研究了一类具体的渐进非扩展映像的不动点迭代构造问题,获得了几个强收敛结果。
3) 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。
4) nonexpansive mapping
非扩张映像
1.
Set of fixed points of nonexpansive mapping and element of the best approximation in a Banach space;
非扩张映像不动点集与最佳逼近元
2.
The double composite modified Ishikawa′s iteration for approximating fixed points of nonexpansive mappings
双复合修正的Ishikawa迭代逼近非扩张映像不动点
3.
Algorithm of the modified iterative process for nonexpansive mappings.
非扩张映像不动点的一种变形迭代算法
5) nonexpansive mappings
非扩张映像
1.
Strong convergence of hybrid iteration method for Ishikawa iteration processes for nonexpansive mappings;
非扩张映像的Ishikawa型混杂迭代方法的强收敛定理
2.
Composite Halpern iteration for approximating fixed points of nonexpansive mappings;
复合Halpern迭代逼近非扩张映像不动点
6) nonexpansive mapping
非扩展映象
1.
Implicit iterative approximation for a finite family of asymptotically nonexpansive mappings in Banach spaces;
Banach空间中有限个渐近非扩展映象公共不动点的隐式迭代逼近
2.
In this paper, we consider an iteration scheme given by a finite family of nonexpansive mappings and then prove a strong convergence theorem for a finite family of nonexpansive mappings in a Banach space.
讨论了一个非扩展映象的有限族所定义的迭代格式,证明了Banach空间中的一个非扩展映象的有限族的强收敛性定理。
3.
Introduce an iteration scheme given by finite nonexpansive mappings, we prove the main resulf as follows: Let E be a uniformly convex Banach with Opial s condition, C be a nonempty convex sabsct of E,( T_i:C→C(i=1,2,).
首先讨论一个由非扩展映象的有限族所定义的迭代格式,主要证明了:设E为满足Opial条件的一致凸的Banach空间,C是E的非空间凸子集,Fi:C→C(i=1,2,…,r)为有限非扩展映象,且∩ri=1F(Ti)非空,设x1∈C,迭代地定义序列{xn}如下:xn+1=Wnxn, n≥1。
补充资料：非想非非想处天
1.佛教语。即三界中无色界第四天。此天没有欲望与物质﹐仅有微妙的思想。
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