An inertial subgradient-type method for solving single-valued variational inequalities and fixed point problems

被引：0
|
作者：
Lixin Zhang
Changjie Fang
Shenglan Chen
机构：
[1] Chongqing University of Posts and Telecommunications,School of Science
[2] Chongqing University of Posts and Telecommunications,Key Lab of Intelligent Analysis and Decision on Complex Systems
来源：
Numerical Algorithms | 2018年 / 79卷
关键词：
Inertial subgradient-type method; Single-valued variational inequalities; Nonexpansive mapping; Lipschitz continuous mapping; Fixed point problems;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce an inertial subgradient-type algorithm to find the common element of fixed point set of a family of nonexpansive mappings and the solution set of the single-valued variational inequality problem. Under the assumption that the mapping is monotone and Lipschitz continuous, we show that the sequence generated by our algorithm converges strongly to some common element of the fixed set and the solution set. Moreover, preliminary numerical experiments are also reported.
引用
收藏
页码：941 / 956
页数：15
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