文献类型：期刊文献

中文题名：一类无Lipschitz假设的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 NONLINEAR OPERATOR WITHOUT LIPSCHITZ ASSUMPTION

作者：倪仁兴[1];叶新涛[2]

机构：[1]绍兴文理学院数学系;[2]南京晓庄学院

年份：2001

卷号：23

期号：1

起止页码：29

中文期刊名：高等学校计算数学学报

外文期刊名：Numerical Mathematies A Journal of Chinese Universities

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

基金：国家自然科学基金资助项目!(No.19971013)

语种：中文

中文关键词：不动点;迭代法;正规对偶映射;Lipschitz假设;非线性算子;φ-强伪压缩算子;φ-强增生算子

外文关键词：strong pseudo-contractive mapping;-strongly accretive operator;Ishikawa iteration procedure with errors;stability;duality mapping.

中文摘要：Several more general results on the convergence of the Ishikawa iteration procedures with errors for -strong pseudo-contractions and nonlinear operator equations of -strongly accretive type without Lipschitz assumption in Banach spaces are established, as the direct applications, some stability results of the Ishikawa iteration methods for -strong pseudocontractions and nonlinear operator equations of - strongly accretive type are also given. They unify, improve and extend the recent corresponding results..

外文摘要：Several more general results on the convergence of the Ishikawa iteration procedures with errors for -strong pseudo-contractions and nonlinear operator equations of -strongly accretive type without Lipschitz assumption in Banach spaces are established, as the direct applications, some stability results of the Ishikawa iteration methods for -strong pseudocontractions and nonlinear operator equations of - strongly accretive type are also given. They unify, improve and extend the recent corresponding results..