%0 Journal Article
%T Strong Convergence of Approximated Sequences for Asymptotically Nonexpansive Mappings in Banach Spaces<br>Banach空间中渐近非扩张映射逼近序列的强收敛性
%A HU Chang-Song
%A <br>胡长松
%J 数学物理学报(A辑)
%D 2004
%I 
%X 该文研究了序列{xn}的收敛性．其中x0∈C,xn-1=αnT↑nxn (1-αn)x,n=0,1,2,…,这里0≤αn≤1,T是Banach空间中非空闭凸子集C到自身的渐近非扩张映射，同时证明了：当zn=（1-tn/kn)u tn/knT↑nzn且lim↓n→∞kn-1/1-tn=0,lim↓n→∞‖zn-Tzn‖=0时，T有不动点当且仅当{zn}有界。这时{zn}强收敛于T的不动点。
%K Asymptotically nonexpansive mapping
%K Strong convergence
%K Banach limits<br>渐近非扩张映射
%K 强收敛
%K Banach极限
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=76A029F94887ED59&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=0B39A22176CE99FB&sid=CEC789B3C68C3BB3&eid=8B59EA573021D671&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=6&reference_num=10