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 .
出处
《河南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2009年第2期141-142,共2页
Journal of Henan Normal University(Natural Science Edition)
关键词
δ集值非扩张
不动点
迭代序列
一致凸
set-valued nonexpansive
iteration sequence
fixed point
uniformly convex