%0 Journal Article
%T New Simple Approximation Algorithm of Fixed Point for Nonexpansive Mappings<br>非扩张映像不动点新的简单逼近算法
%A SU Yongfu
%A <br>苏永福
%J 系统科学与数学
%D 2010
%I 
%X The purpose of this article is to establish new simple approximative algorithms of fixed point for nonexpansive mappings and to prove new fixed point theorems for nonexpansive mappings in the reflexive Banach spaces. The approximate algorithms presented in this article are simpler than Mann, Ishikawa and Halpern iterative algorithms. The weak and strong convergence theorems are proved respectively. The new fixed point theorems presented here improve and extend the related results of Goebel-Kirk, Kim-Xu and others in some respects.
%K Nonexpansive mappings
%K approximation algorithm
%K fixed point
%K weak convergence
%K strong convergence<br>非扩张映像
%K 逼近算法
%K 不动点
%K 弱收敛.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=FE5363AD276996A07F038E058543F633&yid=140ECF96957D60B2&vid=340AC2BF8E7AB4FD&iid=94C357A881DFC066&sid=00520952CD4BF212&eid=66D0A4667FE1A38D&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=21