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：李红玉[1] 陈汝栋[1] 李红智[2] 

机构地区：[1]天津工业大学理学院数学系,天津300160 [2]河北农业大学理学院数学系,保定071001

出　　处：《数学的实践与认识》2009年第2期135-139,共5页Mathematics in Practice and Theory

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情形的推广和发展.This paper discusses convergence of Ishikawa iteration sequence and existence of fixed points for δset-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 收敛性 一致凸BANACH空间 OPIAL条件 

分 类 号：O177.91[理学—数学] O241.6[理学—基础数学]