%0 Journal Article
%T On the Existence of Fixed Points for Asymptotically Nonexpansive Type Semigroups in Banach Spaces<br>关于Banach空间中渐近非扩张型半群的不动点的存在性
%A ZENG Liu-Chuan
%A <br>曾六川
%J 数学物理学报(A辑)
%D 2004
%I 
%X 设C是具有弱一致正规结构的Banach空间X的非空弱紧凸子集,T =｛T(t):t∈S｝是渐近非扩张型半群,且每个T(t)在C上连续.该文证明了如下结论:(i)若X是一致凸的,则F(T)非空;(ii)若T =｛T(t):t∈S｝满足liminfS　 ∈t→∞ ‖T(t)‖ <+∞,且在C上弱渐近正则,则F(T)非空,其中,‖T(t)‖ 是T(t)的精确的Lipschitz常数,F(T)是T(t),t∈S的所有公共不动点之集
%K Fixed point
%K Asymptotically nonexpansive type semigroup
%K Weak uniform normal structure
%K Asymptotic regularity
%K Asymptotic center<br>不动点
%K 渐近非扩张型半群
%K 弱一致正规结构
%K 渐近正则性
%K 渐近中心
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=3CF2753F4DCD24EC&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=38B194292C032A66&sid=BF112261B65CB9C9&eid=31BCE06A2FD82A16&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=19