1) multi-valued asymptotically nonexpansive-type mappings
集值渐近非扩张(型)映射
2) multi-valued asymptotically nonexpansive type mappings
集值浙近非扩张型映射
3) asymptotically nonexpansive mappings of set-valued
集值渐近非扩张映象
4) asymptotically quasi-nonexpansive mappings of set-valued
集值渐近准非扩张映象
1.
By using point valued for set-valued mappings in strictly convex Banach space,a sufficient and necessary condition for Ishikawa multistep iterative processing with errors for asymptotically quasi-nonexpansive mappings of set-valued to converge to coupled fixed point is proved.
在严格凸Banach空间中,用集值映象点值化方法,证明了集值渐近准非扩张映象带误差的三步迭代列收敛于耦合不动点的充要条件。
5) obymptotically nonexpansive type mapping
渐近非扩张型映射
6) 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。
补充资料:扩张映射
扩张映射
expanding mapping
【补注]Y系统在西方文献中通常称为AHocoB系统(A阳sovs岁ton).扩张映射【e%卿喇吨n.跳那嗯;paeT,roaa啊ee oTo6Pa-袱eH“e」 一个由闭流形M到它自身上的可微映射f,在其作用下所有切向量的长度(在某种,因而在任何R记-n必n刀度量的意义下)依指数速率增长,即存在常数C>0与义>1,使对一切X任TM与一切n>0, {ITI,(X){I)C又nt}X!1.此概念也有不带可微性条件的变形,它能概括许多以前研究过的一维情形的例子作为特例.扩张映射的性质类似于y系统(Y一s那tem)的性质,并且部分性质甚至还简单些(例如,C,类的扩张映射恒有作为正密度用局部坐标定义的有限不变测度).
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