复合黏滞迭代逼近非扩张映像公共不动点  

Iterative Approximation of Complex Viscous Nonexpansive Mapping Common Fixed Point

作　　者：王彬[1] 

机构地区：[1]白城师范学院数学系,吉林白城137000

出　　处：《吉林师范大学学报（自然科学版）》2010年第3期99-103,共5页Journal of Jilin Normal University:Natural Science Edition

基　　金：吉林省教育厅"十一五"社会科学项目(吉教科文合字[2009]第414号)

摘　　要：在严格凸的Banach空间E中,本文介绍了一种新的复合迭代方法强收敛到非扩张映像公共不动点.K是E中非空闭凸子集,Tn∶K→K,(n=1,2,…)是一致渐近正则非扩张映像列。{xn}是由复合黏滞格式定义的迭代序列,我们证明了当n→∞时,{xn}强收敛到Tn(n=1,2…)的公共不动点.本文改进和推广了Y.S.Song,R.D.Cheng,H.Y.Zhou的相应结果.This paper introduces a new composite iteration process approximate common fixed point of nonexpansive mappings. Lethe a real strictly convex Banach convex subset of. Suppose that Tn （n = 1,2,…） space with a uniformly differentiable norm, andbe a nonempty closed ） is a uniformly asymptotically regular sequence of nonexpansive map- pings from to itself. { Xn } is a sequence defined by composite viscosity iteration process . Then as, n→∞, we prove { xn } converges strongly to a common fixed point of Tn（n = 1, 2… ）. Our results extend and improve the corresponding

关 键 词：一致渐近序列 黏滞迭代 非扩张映像 严格凸BANACH空间 

分 类 号：O177[理学—数学]