实Hilbert空间中构造有限多个拟非扩张映射公共不动点的循环算法  

A Cyclic Algorithm for Common Fixed Points of a Finite Family of Quasi-nonexpansive Mappings in a Real Hilbert Space

作　　者：何江彦[1] 刘立红[1] 霍晓燕[1] HE Jiangyan LIU Lihong HUO Xiaoyan(Department of Basic Courses,Ordnance Engineering College,Hebei Shijiazhuang 050003,Chin)

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《河北师范大学学报（自然科学版）》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)

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

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 

分 类 号：O177.91[理学—数学]