%0 Journal Article %T Strong Convergence of Approximated Sequences for Asymptotically Nonexpansive Mappings in Banach Spaces
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
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
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