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

被引：76

作者：

Cholamjiak, Prasit ^{[1
]}

Duong Viet Thong ^{[2
]}

Cho, Yeol Je ^{[3
,4
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[2] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

[3] Gyeongsang Natl Univ, Dept Math Educ, Jinju 52828, South Korea

[4] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 169卷 / 01期

关键词：

Inertial contraction projection method; Mann-type method; Pseudomonotone mapping; Pseudomonotone variational inequality problem; SUBGRADIENT EXTRAGRADIENT METHOD; MAXIMAL MONOTONE-OPERATORS; PROXIMAL POINT ALGORITHM; STRONG-CONVERGENCE; HEMIVARIATIONAL INEQUALITIES; ITERATIVE METHODS; WEAK-CONVERGENCE; GRADIENT METHODS; WELL-POSEDNESS; HYBRID METHOD;

D O I：

10.1007/s10440-019-00297-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：29

共 60 条

[1] Extension of subgradient techniques for nonsmooth optimization in Banach spaces [J].