应用泛函分析学报2007，Vol.9Issue(4)：305-310,6.
广义复合隐迭代格式逼近非扩张映像公共不动点
General Composite Implicit Iteration Processes for Common Fixed Points of a Finite Family of Nonexpansive Mappings
摘要
Abstract
The purpose of this paper is to introduce the following general composite implicit iteration schemes:{ xn = αnxn-1 + (1 - αn)Tnyn,yn = rnxn + snxn-1 + tnTnxn + wnTnxn-1,rn + sn + tn + wn= 1,{αn},{rn},{sn},{tn},{wn} ∈ [0,1],where Tn = Tn mod N, for common fixed points of a finite family of nonexpansive mappings {Ti}iN=1 in Banach spaces, and to prove weak and strong convergence theorems. The general composite implicit iteration scheme presented in this paper included various concrete iteration schemes. Hence , the results presented in this paper extend, generalize and improve the results of Mann, Ishikawa, Xu and Ori, and other authors.关键词
复合隐格式迭代/非扩张映像/强弱收敛/Opial's条件/次闭原理Key words
composite implicit iterative/ nonexpansive mapping/ weak converges/ strongconverges/ opial's condition/ demi-closed principle分类
数理科学引用本文复制引用
陆爱霞,苏永福..广义复合隐迭代格式逼近非扩张映像公共不动点[J].应用泛函分析学报,2007,9(4):305-310,6.基金项目
the National Natural Science Foundation of China(10471033) （10471033）
