Banach空间渐近非扩张半群的弱半闭性定理  

Demiclosedness Principle-weak of Nonexpansive Mapping in Banach Space

作　　者：乔庆荣[1] 

机构地区：[1]淮海工学院理学院,连云港222006

出　　处：《应用泛函分析学报》2009年第3期217-223,共7页Acta Analysis Functionalis Applicata

摘　　要：研究了在Banach空间中渐近非扩张半群的弱半闭性原理,依据满足Opial条件及渐近P性质的Banach空间,给出了一系列引理,通过减弱渐近非扩张映照的收敛定理的条件,给出了新的半闭原理——弱半闭原理.The paper investigates into the demiclosedness principle-weak of nonexpansive mapping in Banach space.Employing in a space satisfying Opial s condition and asymptotical characteristics of P,it provides a series of lemmas.In accordance with weaking the condition of the asymptotic behavior of nonexpansive mapping,the paper provides a new demiclosedness principle-weak.

关 键 词：半闭原理 渐近非扩张映照 BANACH空间 

分 类 号：O177.91[理学—数学]