文献类型：期刊文献

中文题名：一类广义Lipschitz非线性算子的带误差的Ishikawa迭代程序

英文题名：Ishikawa Iteration Procedures with Errors for Certain Generalized Lipschitzian Nonlinear Operators

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2001

卷号：44

期号：4

起止页码：701

中文期刊名：数学学报：中文版

收录：CSTPCD、、北大核心2000、Scopus、CSCD2011_2012、北大核心、CSCD

基金：国家自然科学基金资助项目(19971013);浙江省自然科学基金资助项目

语种：中文

中文关键词：广义Lipschitz条件;Banach空间;φ-强伪压缩算子;φ-强增生算子;不动点;非线性算子;迭代逼近;算子方程;迭代程序;Ishikawa

外文关键词：Generalized Lipschitz condition; -strong pseudo-contractive mapping; strongly accretive operator; Ishikawa iteration procedures with errors

中文摘要：借助于周海云和陈东青［４］新近引入的广义Ｌｉｐｓｃｈｉｔｚ概念，研究了实Ｂａｎａｃｈ空间中广义Ｌｉｐｓｃｈｉｔｚ　 －强伪压缩算子的不动点和广义Ｌｉｐｓｃｈｉｔｚ －强增算子方程解的迭代逼近问题，所得结果改进和扩展了近期许多相关的结果，并部分地回答了周海云［３］提出的一个问题．

外文摘要：In the present paper, by virtue of a concept of generalized Lipschitzian map- ping introduced by Zhou and Chen[4], we discuss problem of iterative approximation of fixed points for generalized Lipschitzian - strong pseudo-contractive mappings and of solutions of the equation for generalized Lipschitzian - strongly accretive operators in real Banach spaces. Our results improve and extend the recent corresponding resullts,and answer partly the open problem pat forward by Zhou[3].