文献类型：期刊文献

中文题名：Banach空间中一类广义Lipschitz非线性算子迭代序列的收敛定理

英文题名：SOME CONVERGENCE THEOREMS FOR ITERATIVE SEQUENCE OF CERTAIN GENERALIZED LIPSCHITZIAN NONLINEAR OPERATORS IN BANACH SPACES

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2002

卷号：24

期号：1

起止页码：87

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 ( No.1 9971 0 1 3);浙江省教育厅科研项目 ( No.2 0 0 1 0 1 0 5 )

语种：中文

中文关键词：Banach;非线性算子;迭代序列;收敛定理;不动点;压缩算子;增生算子

外文关键词：generalized) Lipschitz mapping;φ strong pseudo contractive mapping;φ strongly accretive operator;Ishikawa iteration sequence with errors.

中文摘要：In the present paper, by virtue of a concept of generalized Lipschitzian mapping introduced by Zhou and Chen ,we discuss problem of approximation of fixed points for(generalized) Lipschitzian φ strong pseudo-contractive mapping and solutions of the equation for(generalized) Lipschitzian φ strongly accretive operators by the Ishikawa iteration sequence with errors in real Banach spaces. Our results improve and extend the recent corresponding results due to Xu and other authors.

外文摘要：In the present paper, by virtue of a concept of generalized Lipschitzian mapping introduced by Zhou and Chen ,we discuss problem of approximation of fixed points for(generalized) Lipschitzian φ strong pseudo-contractive mapping and solutions of the equation for(generalized) Lipschitzian φ strongly accretive operators by the Ishikawa iteration sequence with errors in real Banach spaces. Our results improve and extend the recent corresponding results due to Xu and other authors.