一致光滑Banach空间中φ-半压缩算子的具有混合型误差的迭代逼近问题  

Iterative approximations with mixed errors of φ-Hemi-contractive mappings in uniformly smooth Banach space

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：《烟台师范学院学报（自然科学版）》2003年第3期163-168,共6页Yantai Teachers University journal(Natural Science Edition)

摘　　要：引入混合型Ishikawa和Mann迭代程序,在一致光滑Banach空间中研究了φ-半压缩算子的带混合误差的Ishikawa和Mann迭代的逼近问题,使用新的分析技巧,在较弱条件下,建立了几个强收敛定理,从而统一和发展了有关已有结果.By introducing Ishikawa and Mann iterative sequence with mixed errors and using a new analytical method,Ishikawa and Mann iterative approximation problems with mixed errors of φhemicontractive mappings in uniformly smooth Banach space are studied under weaker conditionsSome results on strong convergence theorems are obtained,which extend and unify some related results.

关 键 词：混合型误差 Ishikawa迭代程序列 Mann迭代程序列 Φ-半压缩算子 一致光滑BANACH空间 

分 类 号：O177.91[理学—数学]