非线性映象不动点集的迭代集合序列逼近  

Iterative Approximation of Set Sequences of Fixed Point Set for a Kind of Nonlinear Mapping

作　　者：杨理平[1] 

机构地区：[1]广东工业大学应用数学系,广东广州510090

出　　处：《广东工业大学学报》2004年第2期86-92,共7页Journal of Guangdong University of Technology

摘　　要：在2—一致凸Banach空间的有界闭凸集中讨论第5类非扩张映象T的不动点集F(T)的结构与它的迭代集合序列逼近,得到F(T)是非空的闭凸集,所得结果包含了Browder,Petryshyn,Singh等人的某些结果.Let B be a 2-uniformly convex Banach space,C be a nonempty closed convex subset of B,and T be the fifth nonexpansive mapping. The structure of its fixed point set F(T) and the iterative approximation of its set sequences are discussed,It proves that F(T) is a nonempty closed convex set.This paper generalizes and extends some of Browder's, Petryshyn's and Singh's results.

关 键 词：非线性 映象不动点集 一致凸Bsnsvh空间 集合序列 不动点集 

分 类 号：O177.91[理学—数学]