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：刘金河[1] 韩晶[2] 王晓东[3] 

机构地区：[1]河北工业大学现代化教学中心,天津300130 [2]晋城职业技术学院数学与科学教育系,晋城048000 [3]河北工业大学继续教育学院,天津300130

出　　处：《河北工业大学学报》2007年第3期35-37,共3页Journal of Hebei University of Technology

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 δ 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 收敛性 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]