在线阅读 --自然科学版 2017年5期《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》
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--[在线阅读]
何江彦, 刘立红, 霍晓燕
军械工程学院 基础部, 河北 石家庄 050003
起止页码: 381--385页
DOI: 10.13763/j.cnki.jhebnu.nse.2017.05.003
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.

A Cyclic Algorithm for Common Fixed Points of a Finite Family of Quasi-nonexpansive Mappings in a Real Hilbert Space
HE Jiangyan, LIU Lihong, HUO Xiaoyan
Department of Basic Courses, Ordnance Engineering College, Hebei Shijiazhuang 050003, China
Abstract:
In this paper,we propose a cyclic algorithm for approximating common fixed points of a finite family of quasi-nonexpansive mappings in a real Hilbert space.A strong convergence theorem is proven which generalizes a result due to the variational inequality problems.

收稿日期: 2016-12-10
基金项目: 国家自然科学基金(11071053)

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