非扩展非自映像不动点的迭代构造研究  

Iteration Method Research on Fixed Point of Nonexpansive Nonself-mapping in Hilbert Space

作　　者：谈斌[1] 周海云[1] 

机构地区：[1]军械工程学院应用数学与力学研究所,石家庄050003

出　　处：《应用泛函分析学报》2006年第3期272-275,共4页Acta Analysis Functionalis Applicata

摘　　要：运用Banach极限的技巧将收敛控制条件进一步放宽,去掉了∑∞n=1αn+1-αn<∞条件,在相对弱的条件Txn+1-Txn→w0,n→∞下证明了一个强收敛定理,改进了Wittmann的结果.In the present paper, a new iteration method is introduced by virtue of the metric projectin from H onto C and the Banach limit technique to relax the condition of convergence and remove the condition of ∑n=1^∞｜an＋1-αn｜〈∞,and a strong convergence theorem is proved under the weaker a,s,sumption of Txn＋1- Txn→0 （n→∞）, which improves the Wittmann＇s result.

关 键 词：非扩展非自映像 BANACH极限 不动点 

分 类 号：O177.91[理学—数学]