1) expansive mapping pairs
扩张型映射对
1.
The existence and uniqueness of the common fixed point of some expansive mapping pairs in the complete metric space are discussed in this paper,and the main results in the papers by Wang Shangzhi and Xia Dafeng are improved.
在王尚志等人讨论的几类扩张映射的不动点问题的基础上,研究了完备度量空间中几类扩张型映射对的公共不动点的存在性与惟一性。
2) Relatively nonexpansive mapping
相对非扩张映射
1.
An iterative sequence is introduced for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space.
在Banach空间引进一迭代序列来逼近两个集合的公共点,这两个集合分别是相对非扩张映射的不动点集和关于逆强单调映射的变分不等式的解集。
3) Absolutely expansive mapping
绝对扩张映射
4) non-expansive type mappings
非扩张型映射
1.
Fixed point theorems of non-expansive type mappings on gauge spaces;
度规空间上非扩张型映射的不动点定理
5) N type of expanding self-map
N型扩张自映射
6) expansion mapping
扩张映射
1.
In this paper, several new fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings in compact metric space are introduced.
本文得到几个新的扩张映射的不动点定理和紧距离空间中映射对的公共不动点定
2.
The fixed point theorems for expansion mappings and the common fixed point theorem for a pair of mappings are given in 2 metric spaces under the condition of weakening mappings continuance.
在２—距离空间中减弱映射的连续性条件下，给出了扩张映射的不动点定理及扩张映射对的公共不动点定理。
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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参考词条