关于渐近拟非扩张算子不动点迭代逼近的注记  

A NOTE ON ITERATIVE APPROXIMATION OFFIXED POINT FOR ASYMPTOTICALLYQUASI-NONEXPANSIVE OPERATORS

作　　者：肖建中[1] 朱杏华[1] 

机构地区：[1]南京信息工程大学数学系,南京210044

出　　处：《应用数学学报》2004年第4期608-616,共9页Acta Mathematicae Applicatae Sinica

基　　金：江苏省教育厅自然科学基金资助项目

摘　　要：研究Banach空间中渐近拟非扩张算子及渐近(?)-半压缩算子不动点的迭代逼近 问题,给出带误差Ishikawa型迭代序列收敛的充要条件,所得结果修正与改进了[1]的主 要结果,且推广了[2]及其他一些文献的相关结果.The iterative approximation problems of fixed points are studied for asymptotically quasi-nonexpansive and asymptotically (?)-hemicontractive operators in Banach spaces. Some sufficient and necessary conditions are given for Ishikawa type iterative sequences with errors to converge to fixed points. The results of this paper revise and improve the main results in [1], and extend the corresponding results in [2] and the others.

关 键 词：渐近拟非扩张算子 渐近φ-半压缩算子 不动点 广义Ishikawa型迭代序列 

分 类 号：O177.91[理学—数学] O174.14[理学—基础数学]