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 .
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.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2001年第3期309-316,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金! ( 1 9971 0 1 3)
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
Strongly Pseudocontractive Operators
Ishikawa Iteration Procedures with Errors
Stability of the Ishikawa Iteration Procedures
Arbitrary Real Banach Spaces
