三阶隐迭代格式的收敛性  

The Convergence of Three-order Implicit Iteration Method

作　　者：岳贵鑫[1] 

机构地区：[1]辽宁省交通高等专科学校,辽宁沈阳110122

出　　处：《辽宁大学学报（自然科学版）》2009年第1期40-42,共3页Journal of Liaoning University：Natural Sciences Edition

摘　　要：在Banach空间X的非空闭凸子集上引入了一类新的带有限李普希兹算子集三阶隐迭代格式,借助于压缩映像原理证明了迭代格式定义的合理性,在适当的条件下,证明了该迭代格式中各个点列的收敛性.In this paper, a new class of three - order implicit iteration method with a finite family of Lipschitz mappings on a nonempty, closed and convex subset of a Banach spaces X is introduced, the reasonability of it is proved by using Banach fixed point theorem and the convergences of the iterations in it are proved respectively under suitable conditions.

关 键 词：三阶 隐迭代格式 李普希兹算子 收敛 

分 类 号：O177.91[理学—数学]