Banach空间中非Lipschitz的渐近伪压缩映象不动点的迭代逼近问题  

Iterative Approximation Problem of Fixed Points for Non-Lipschitzian Asymptotically Pseudocontractive Mappings in Banach Spaces

作　　者：王绍荣[1] 熊明[1] 

机构地区：[1]大理学院数学与计算机学院,大理671000

出　　处：《应用数学学报》2007年第1期69-75,共7页Acta Mathematicae Applicatae Sinica

基　　金：云南省教育厅科研基金(KY416140号)资助项目.

摘　　要：本文在去掉条件“‖Tnxn-xn‖→0(n→∞)”的情况下,在任意实的Banach空间中研究了用具误差的修正的Ishikawa与Mann迭代程序来逼近非Lipschitz的渐近伪压缩映象不动点的强收敛性问题;所得结果不但改进和推广了张石生教授与曾六川教授的结果,而且也从根本上改进了定理的证明方法．The purpose of this paper is to the modified Ishikawa and Mann iterative investigate the strong convergence problem of processes with errors for approximating fixed points of non-Lipschitzian asymptotically pseudocontractive mappings in an arbitrary real Banach spaces without the condition ＂‖T^nxn-xn‖→0（n→∞）＂. The results presented in this paper improve and extend Zhang Shisheng＇s results and Zeng Liuchuan＇s results. Also, improve for the theorem of methods proof.

关 键 词：渐近伪压缩映象 渐近非扩张映象 具误差的修正的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]