带误差的二阶隐迭代格式的收敛性  

The Convergence of Two-order Implicit Iteration Method with Errors

作　　者：刘汝臣[1] 

机构地区：[1]辽宁省交通高等专科学校,辽宁沈阳110122

出　　处：《白城师范学院学报》2011年第3期14-16,共3页Journal of Baicheng Normal University

摘　　要：首先在Banach空间X的非空闭子空间上建立了一类由有限具公共李普希兹系数的算子集决定的带误差的二阶隐迭代格式,利用压缩映像原理证明了该二阶隐迭代格式定义的合理性.其次,给出了该二阶隐迭代格式中各个点列收敛的一个充分条件,其结果扩展及推广了一些已有的结果.In this paper, a class of two - order implicit iteration method with errors defined by a finite family of Lipschitz mappings with common Lipsehitz constant on a nonempty, closed subspace of a Banaeh spaces is established and the reasonability of this implicit iteration method is proved by using Banach fixed point theorem. And sufficient conditions for the convergenees of the iterations in it are given respectively.

关 键 词：BANACH空间 隐迭代格式 李普希兹算子 收敛 

分 类 号：O177.92[理学—数学]