用Ishikawa迭代程序逼近严格伪压缩映射的不动点  

Approximation Fixed Points of Strictly Pseudocontractive Mappings by Ishikawa Iterative Procedure

作　　者：姚新颉[1] 

机构地区：[1]浙江树人大学,杭州310015

出　　处：《应用数学与计算数学学报》2004年第1期67-70,共4页Communication on Applied Mathematics and Computation

摘　　要：本文证明了定义在Banach空间X中闭凸子集K上的Lipschitz严格伪压缩 映射T的不动点,可由Ishilkawa迭代程序逼近,并给出了更一般的收敛率的估计,从而 统一和发展了近期的一些有关的结果.It is shown that any fixed point of a Lipschitzian. Strictly pseudocontractive mapping T on a closed convex subset K of a Banach space X may be approximated by Ishikawa iterative procedure, and provides the convergence rate estimate which is much better then that given by other authers. These results unify and generalize the recent corresponding results.

关 键 词：ISHIKAWA迭代序列 LIPSCHITZ映射 严格伪压缩映射 不动点 收敛率估计 

分 类 号：O241[理学—计算数学]