φ-半压缩算子不动点和φ-强增生算子方程解的带随机混合型误差的迭代逼近  

Ishikawa and Mann Iterative Approximations with Random Mixed Errors of Fixed Points for φ Strongly Accretive Mappings and φ Hemicontractive Mappings

作　　者：张树义[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121000

出　　处：《长沙大学学报》2003年第4期18-21,48,共5页Journal of Changsha University

摘　　要：引入带随机混合型误差的Ishikawa和Mann迭代程序列,在实Banach空间中研究了φ半压缩算子具有不动点和φ强增生算子方程解的带随机混合型误差的Ishikawa和Mann迭代程序的逼近问题,使用新的分析技巧,建立了几个强收敛定理,从而统一和发展了Chidume[1],Zhou[2],Osilike[3]和笔者[4]的最新结果.By introducing the concept for Ishikawa and Mann iterative sequence with random errors, Ishikawa and Mann iterative sequence with random mixed errors approximations problem for φstrongly accretive mappings and φhemicontractive mappings in general Banach space are studied, which extend and unify corresponding results of ^().

关 键 词：Φ-半压缩算子 Φ-强增生算子 随机混合型误差 Ishikawa迭代程序列 Mann迭代程序列 

分 类 号：O177.91[理学—数学]