有限维分解与非扩张映象的不动点  

Finite Dimensional Decompositions and Fixed Points of Nonexpansive Mappings

作　　者：游兆永[1] 徐洪坤[1] 

机构地区：[1]西安交通大学数学系,华东化工学院

出　　处：《工程数学学报》1994年第4期94-98,共5页Chinese Journal of Engineering Mathematics

摘　　要：设Ｘ是Ｂａｎａｃｈ空间且具有有限维分解满足ＬａｍｉＤｏｚｏ条件。则存在λ＞１使得当Ｙ是同构于Ｘ的Ｂａｎａｃｈ空间且Ｂａｎａｃｈ－Ｍａｚｕｒ距离ｄ（Ｘ，Ｙ）＜λ时，Ｙ具有弱正规结构从而具有ＦＰＰ。Abstract Suppose that X is a Banach space with a finite dimensional decomposition satisfying the Lami Dozo condition.Then it is shown that there exists a number λ> 1 with the property that any Banach space Y which is isomorphic topologically to X with the Banach-Mazur distance d(X,Y) less than λ has w-normal structure and hence the fixed point property for nonexpansive mappings.

关 键 词：不动点 非扩张映象 有限维 分解 

分 类 号：O177.2[理学—数学]