Strong Convergence Theorems for Solving Variational Inequality Problems with Pseudo-monotone and Non-Lipschitz Operators

被引：35

作者：

Cai, Gang ^{[1
]}

Dong, Qiao-Li ^{[2
]}

Peng, Yu ^{[2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2021年 / 188卷 / 02期

关键词：

Extragradient method; Variational inequality; Viscosity method; Strong convergence; SUBGRADIENT EXTRAGRADIENT METHODS; COMPLEMENTARITY-PROBLEMS; ITERATIVE METHODS; PROJECTION; ALGORITHMS; POINT;

D O I：

10.1007/s10957-020-01792-w

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we propose a new viscosity extragradient algorithm for solving variational inequality problems of pseudo-monotone and non-Lipschitz continuous operator in real Hilbert spaces. We prove a strong convergence theorem under some appropriate conditions imposed on the parameters. Finally, we give some numerical experiments to illustrate the advantages of our proposed algorithms. The main results obtained in this paper extend and improve some related works in the literature.

引用

页码：447 / 472

页数：26

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