渐近伪压缩和渐近非扩张映像不动点的迭代逼近问题  

Iterative Approximation Problem of Fixed Points for Asymptotically Pseudo-contractive and Asymptotically Nonexpansive Mappings

作　　者：姚永红[1] 陈汝栋[1] 

机构地区：[1]天津工业大学数学系,天津300160

出　　处：《应用泛函分析学报》2007年第3期233-237,共5页Acta Analysis Functionalis Applicata

基　　金：天津市高校科技发展基金(20040401)

摘　　要：研究了Banach空间中渐近伪压缩和渐近非扩张映像不动点的迭代逼近问题,改进和发展了张石生教授等人的相应结果.In this paper we constructed a new Ishikawa iteration process. We prove approximating fixed point of asymptotically pseudo-contractive and asymptotically nonexpansive mappings by a new Ishikawa iteration processes. The results presented in this paper improve and extend the corresponding results of Zhang Shi-sheng and others.

关 键 词：渐近非扩张映像 渐近伪压缩映像 ISHIKAWA迭代序列 MANN迭代序列 不动点 

分 类 号：O177.91[理学—数学]