渐近半伪压缩映射的强收敛的充分必要条件（英文）  

A SUFFICIENT AND NECESSARY CONDITION FOR THE STRONG CONVERGENCE OF ASYMPTOTICALLY HEMI-PSEUDONTRACTIVE MAPPING

作　　者：刘涌泉[1] 郭伟平[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《数学杂志》2015年第4期747-753,共7页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11271282)

摘　　要：本文研究了渐近半伪压缩映射.应用带误差项的修改的Ishikawa迭代序列,得到了一致LLipschitzian渐近半伪压缩映射逼近其不动点的强收敛的充分必要条件.In this paper, the asymptotically hemi-pseudocontractive mapping is studied in Banach space. By using the modified Ishikawa iterative scheme with errors, some sufficient and necessary conditions on the strong convergence for approximation of fixed points of the uniformly L-Lipschitzian asymptotically hemi-pseudocontractive mapping are obtained, which extend and improve some corresponding results.

关 键 词：不动点 BANACH空间 渐近伪压缩映射 渐近半伪压缩映射 一致L-Lipschitzian映射 

分 类 号：O177.91[理学—数学]