A Novel Inertial Projection and Contraction Method for Solving Pseudomonotone Variational Inequality Problems

被引：0

作者：

Prasit Cholamjiak

Duong Viet Thong

Yeol Je Cho

机构：

[1] University of Phayao,School of Science

[2] Ton Duc Thang University,Applied Analysis Research Group, Faculty of Mathematics and Statistics

[3] Gyeongsang National University,Department of Mathematics Education

[4] University of Electronic Science and Technology of China,School of Mathematical Sciences

来源：

Acta Applicandae Mathematicae | 2020年 / 169卷

关键词：

Inertial contraction projection method; Mann-type method; Pseudomonotone mapping; Pseudomonotone variational inequality problem; 65Y05; 65K15; 68W10; 47H05; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we introduce a new algorithm which combines the inertial contraction projection method and the Mann-type method (Mann in Proc. Am. Math. Soc. 4:506–510, 1953) for solving monotone variational inequality problems in real Hilbert spaces. The strong convergence of our proposed algorithm is proved under some standard assumptions imposed on cost operators. Finally, we give some numerical experiments to illustrate the proposed algorithm and the main result.

引用

页码：217 / 245

页数：28

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