Asymptotic Behavior of Almost-orbits of Asymptotically Nonexpansive Semigroups in Banach Spaces(Dedicated to Professor You Zhaoyong for his 60th brithday)

被引：0

作者：

Xu HongKunInstitute of Applied Mathematics East China University of Chemical Technology Changhai China ^{[200237
]}

机构：

来源：

工程数学学报 | 1991年 / 02期

关键词：

Almost-orbit; asymptotically nonexpansive semigroup; almost convergence; fixed point; nonexpansive retraction;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

<正> Let C be a closed bounded convex subset of a uniformaly convex Banach space X with a Frechet differentiable norm, F= {T(t):t ≥0} an asymptotically noncxpansivc semigroup on C, and u:[0,∞)→ C an almost-orbit of F. Then we show that {u(t):t ≥ 0} is almost convergent weakly to a common fixed point y of F, that isweak - lim1/tdr - y uniformly in s≥ 0.This implies that {u(t):t≥ 0} converges weakly to y if and onlyif u is weakly asymptotically regular, i.e lim (u(t + s) - u(t) = 0 weakly for all s≥ 0.

引用

页码：19 / 30

页数：12