Banach空间中渐近非扩张型半群的遍历定理  

Ergodic Theorem for the Semi-group of Asymptotically Nonexpansive Type Mappings in Banach Spaces

作　　者：林毅[1] 潘红燕[1] 

机构地区：[1]常州机电职业技术学院基础部,江苏常州213000

出　　处：《大学数学》2010年第6期61-63,共3页College Mathematics

摘　　要：对带Opial条件的Banach空间中非扩张半群的不动点理论进行推广,得到了带Opial条件的Banach空间中渐近非扩张型半群的遍历收敛定理.This paper proves ergodic theorem for the semi-group of asymptotically nonexpansive type mappings in Banach spaces with the Opial property.Suppose E is a Banach space with the Opial property,C is a weak compact and convex subset of E and T={T（t）：t≥0} is an asymptotically nonexpansive type semi-group of C.If M（τβ,z）→^wz for z∈C,then T（t）z→w^z.

关 键 词：带Opial条件的Banach空间 渐近非扩张型半群 子网 弱紧凸子集 

分 类 号：O175[理学—数学]