Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities

被引：47

作者：

Duong Viet Thong ^{[1
]}

Gibali, Aviv ^{[2
,3
]}

机构：

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

[2] ORT Braude Coll, Dept Math, IL-2161002 Karmiel, Israel

[3] Univ Haifa, Ctr Math & Sci Computat, IL-3498838 Haifa, Israel

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 01期

关键词：

Extragradient method; Halpern method; variational inequality; pseudo-monotone operator; COMPLEMENTARITY-PROBLEMS; STRONG-CONVERGENCE; WEAK-CONVERGENCE; ALGORITHMS; OPERATORS; POINT;

D O I：

10.1007/s11784-018-0656-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to study and analyze two new extragradient methods for solving non-Lipschitzian and pseudo-monotone variational inequalities in real Hilbert spaces. Under suitable conditions, weak and strong convergence theorems of the proposed methods are established. We present academic and numerical examples for illustrating the behavior of the proposed algorithms.

引用

页数：19

共 36 条

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