φ-半压缩算子不动点的迭代逼近问题  

Ishikawa and Mann Iterative Approximations of Fixed Points and Solutions of φ-Strongly Accretive Mappings and Hemi-contractive Mappings

作　　者：张树义[1] 

机构地区：[1]锦州师范学院数学系,辽宁锦州121000

出　　处：《南阳师范学院学报》2003年第6期3-7,共5页Journal of Nanyang Normal University

摘　　要：引入带混合型误差的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,Zhou和Osilike等许多人的最新结果。By introducing the concept for Ishikawa and Mann iterative sequence with mixed errors, Ishikawa and Mann iterative sequence with mixed errors approximations problem of fixed point and solution for strongly accretive type mappings and hemi-contractive type mappings are studied in general Banach space, which extend and unify corresponding results of [1 ~ 14].

关 键 词：Φ-半压缩算子 不动点 迭代逼近 Φ-强增生算子 混合型误差 Ishikawa迭代程序列 Mann迭代程序列 迭代逼近 

分 类 号：O177.91[理学—数学]