文献类型：期刊文献

中文题名：渐近非扩张的非自映象不动点的迭代逼近问题

英文题名：ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE NONSELF-MAPS

作者：冯先智[1];倪仁兴[2]

机构：[1]台州学院数学系;[2]绍兴文理学院数学系

年份：2009

卷号：29

期号：1

起止页码：87

中文期刊名：数学杂志

外文期刊名：Journal of Mathematics

收录：CSTPCD、、CSCD2011_2012、北大核心2008、北大核心、CSCD

基金：国家自然科学基金资助项目(10271025);浙江省自然科学基金资助项目(Y606717);浙江省教育厅科研项目(20060074;20061154)

语种：中文

中文关键词：渐近非扩张的非自映象;修正的Ishikawa型迭代序列;修正的Mann迭代序列;不动点;一致凸Banach空间

外文关键词：Asymptotically nonexpansive nonself-maps; modified Ishikawa type iterative sequence;modified Mann iterative sequence; fixed point; uniformly convex Banach space.

中文摘要：本文研究了渐近非扩张的非自映象不动点的迭代逼近问题,利用一致凸Banach空间中凸性模的有关不等式及新的分析方法,通过引入一新的修正的Ishikawa型迭代程序,在一致凸实Banach空间中,获得了此迭代序列强收敛于渐近非扩张的非自映象的不动点的逼近.改进和扩展了文献[2-5,9,10]的相关结果.

外文摘要：The purpose of this paper is to investigate the iteration approximation problem of the fixed point for asymptotically nonexpansive nonself-maps,by using corresponding inequality of convexity modular in a uniformly convex Banach spaces and new analysis methods and introducing a new modified Ishkawa type iterative process,and new results on strong eonvergences of the iterative sequence of the fixed point for asymptotically nonexpansive nonself-maps in a real uniformly convex Banach space are obtained. These improve and extend som corresponding results in [2-5,9,10].