集值非扩张映象不动点存在与收敛性  

Convergence and Existence of Fixed Points of Set-valued Nonexpansive Mapping

作　　者：张晓华[1] 任必军[2] 

机构地区：[1]鹤壁职业技术学院电子信息工程系,河南鹤壁458030 [2]河南财政税务高等专科学校信息工程系,郑州450002

出　　处：《河南师范大学学报（自然科学版）》2009年第2期141-142,共2页Journal of Henan Normal University(Natural Science Edition)

摘　　要：讨论了δ集值非扩张映象在一致凸Banach空间中不动点非空的充分必要条件与Ishikawa迭代序列的收敛性及确保迭代程序收敛到不动点的条件,所得结果是单值非扩张映象的推广和发展.This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for set-valued nonexpansive mapping in uniformly covex Banach space, and the conditions are shown which guarantee the convergence of the iteration sequence to a fixed point. The result generalizes and develops some known results of single-valued nonexpansive mapping .

关 键 词：δ集值非扩张 不动点 迭代序列 一致凸 

分 类 号：O177.91[理学—数学]