摘要
设X是任意实Banach空间,T:X→X是一Lipschitz强伪压缩算子.本文给出T带误差的 Ishikawa迭代过程的强稳定性.并给出一个涉及Lipschitz强增生算子T的非线性方程Tx=f迭代解 的强稳定性.
Let X be an arbitrary real Banach space and T : X→X be a Lipschitz strongly pseudo-contractive operator. It is proved that certain the Ishikawa iteration procedures are strong stable. A related result deals with strong stable iteratioin procedures for solution of the equation Tx = f when T is Lipschitz and strongly accretive operator.
出处
《应用泛函分析学报》
CSCD
2002年第2期164-168,共5页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(19871067)
关键词
强稳定性
强伪压缩算子
迭代方法
BANACH空间
strong stability
strongly pseudocontractive operator
iteration methods
Banach space
