摘要
在实Hilbert空间中针对有限多个拟非扩张映射,引入了一种循环算法,用以构造有限多个拟非扩张映射的公共不动点,证明了这种算法的强收敛性,而此解是一类变分不等式的解问题.
In this paper, we propose a cyclic algorithm for approximating common fixed points family of quasi-nonexpansive mappings in a real Hilbert space. A strong convergence theorem which generalizes a result due to the variational inequality problems. of a finite is proven
作者
何江彦
刘立红
霍晓燕
HE Jiangyan LIU Lihong HUO Xiaoyan(Department of Basic Courses,Ordnance Engineering College,Hebei Shijiazhuang 050003,Chin)
出处
《河北师范大学学报(自然科学版)》
CAS
2017年第5期381-385,共5页
Journal of Hebei Normal University:Natural Science
基金
国家自然科学基金(11071053)
关键词
拟非扩张映射族
公共不动点
变分不等式
循环算法
强收敛
quasi-nonexpansive mappings
common fixed point
variational inequality
cyclic algorithm
strong convergence