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Banach空间中渐近非扩张映象不动点的迭代逼近问题
引用本文:张石生.Banach空间中渐近非扩张映象不动点的迭代逼近问题[J].应用数学学报,2001,24(2):236-241.
作者姓名:张石生
作者单位:云南师范大学数学系,
基金项目:国家自然科学基金资助项目.
摘    要:本文研究Banach空间中渐近非扩张映象和渐近伪压缩映象不动点的迭代逼近问题,本文结果是4,5,7]中相应结果的发展和改进。

关 键 词:渐近非扩张映象  渐近伪压缩映象  Ishikawa迭代序列  Mann迭代序列  不动点  Banach空间  迭代逼近

ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
ZHANG SHISHENG.ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES[J].Acta Mathematicae Applicatae Sinica,2001,24(2):236-241.
Authors:ZHANG SHISHENG
Abstract:The purpose of this paper is to study the iterative approximation problem of fixed points for asymptotically nonexpansive and asymptotically pseudo-contraction mappings in Banach spaces. The results of this paper improve and extend the corresponding results of 4,5,7].
Keywords:Asymptotically nonexpansive mapping  asymptotically pseudo-contraction mapping  modified Ishikawa iterative sequence  modified Mann iterative sequence
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