文献类型：期刊文献

中文题名：一类非线性算子的带误差的Ishikawa迭代程序及其稳定性

英文题名：ISHIKAWA ITERATION PROCEDURES WITH ERRORS OF CERTAIN NONLINEAR OPERATORS AND STABILITY OF THE PROCEDURES

作者：倪仁兴[1]

机构：[1]绍兴文理学院数学系

年份：2001

卷号：16

期号：3

起止页码：309

中文期刊名：高校应用数学学报：A辑

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! ( 1 9971 0 1 3)

语种：中文

中文关键词：强伪压缩算子;Ishikawa迭代程序;Banach空间;非线性算子;稳定性;不动点

外文关键词：Strongly Pseudocontractive Operators;Ishikawa Iteration Procedures with Errors;Stability of the Ishikawa Iteration Procedures;Arbitrary Real Banach Spaces

中文摘要：建立了任意实 Banach空间中带误差的 Ishikawa迭代程序逼近 Lips-chitz强伪压缩算子的不动点的一般性定理 .指出已被广泛研究的 Ishikawa迭代序列的稳定性问题仅是带误差的 Ishikawa迭代程序的特例 ,作为直接的应用 ,用不同于通常的方法证得任意实 Banach空间中的 Ishikawa迭代序列关于 Lipschitz强伪压缩算子是稳定的 .这些推广或发展了近期许多相应的结果 .

外文摘要：The general theorem on the Ishikawa iterative approximation with errors of fixed point for Lipschitz strongly pseudo contractive operators is obtained in arbitrary real Banach spaces.It is pointed out that the stability problem of Ishikawa iteration procedures which has been investigated extensively is just a special case of the Ishikawa iteration procedures with errors.As the direct application,using unusual methods,it is proved that certain Ishikawa iteration procedures are stable with respect to Lipschitz strongly pseudocontractive operators.The results generalize or extend the recent corresponding results.