关于m-增生算子的Ishikawa迭代程序的收敛性与稳定性(英文)  

Convergence and Almost Stability of Ishikawa Iterative Scheme with Errors for m-accretive Operators

作　　者：王学武[1] 

机构地区：[1]山东工商学院数学与信息科学学院,山东烟台264005

出　　处：《应用数学》2009年第1期155-160,共6页Mathematica Applicata

摘　　要：在任意的Banach空间的条件下,具误差的Ishikawa迭代程序强收敛到非线性方程x+Tx=f的唯一解并且是几乎稳定的.其结果推广、改进和统一了Zeng和Liu的相关结果.It is proved that under suitable conditions, the Ishikawa iterative scheme with random errors both convergence strongly to the unique solution of the nonlinear equation x＋ Tx=land is almost stable in an arbitrary real Banach space. The results presented in this paper generalize and improve the corresponding results of Zeng and Liu.

关 键 词：具误差的Ishikawa迭代程序 M-增生算子 强收敛 几乎稳定 

分 类 号：O177.91[理学—数学]