A modified subgradient extragradient method with non-monotonic step sizes for solving quasimonotone variational inequalities

被引：2

作者：

Thong, Duong Viet ^{[1
]}

Li, Xiao-Huan ^{[2
]}

Dung, Vu Tien ^{[3
]}

Thang, Hoang Van ^{[1
]}

Long, Luong Van ^{[1
]}

机构：

[1] Natl Econ Univ, Fac Math Econ, Hanoi City, Vietnam

[2] Shandong Univ Technol, Sch Math & Stat, Zibo 255000, Peoples R China

[3] Univ Sci, Vietnam Natl Univ, 334 Nguyen Trai, Hanoi, Vietnam

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 04期

关键词：

Quasimonotone variational inequality; Quasimonotone mapping; Non-monotone mapping; Lipschitz continuity; R-linear convergence rate; WEAK-CONVERGENCE; ALGORITHM;

D O I：

10.1007/s40314-024-02699-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we propose a self-adaptive projection method for solving variational inequalities with Lipschitz continuous and quasimonotone mapping (or Lipschitz continuous mapping without monotonicity) in real Hilbert space. Using the technique of double inertial steps into a single projection method, we give weak and strong convergence theorems of the proposed algorithm. The results obtained in this paper extend some recent results in the literature.

引用

页数：23

共 44 条

[1] Financial development and institutional quality among emerging economies [J].