STRONG CONVERGENCE OF HALPERN ITERATION FOR NONSMOOTH VARIATIONAL INEQUALITY IN HILBERT SPACE

被引：0
|
作者：
Zhao, Xiaopeng [1 ]
Naraghirad, Eskandar [2 ,3 ]
机构：
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300387, Peoples R China
[2] Univ Yasuj, Dept Math, Yasuj 75918, Iran
[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Nonsmooth variational inequality; maximal monotone operator; Halpern iteration; MONOTONE-OPERATORS; ALGORITHM; MAPPINGS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a nonsmooth variational inequality problem in Hilbert space, where the operator is the sum of two maximal monotone set-valued operators. For solving this variational inequality problem, we propose a new Halpern-type iterative scheme, and establish the strong convergence result for this scheme.
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页码：993 / 999
页数：7
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