On Approximating Solutions to Non-monotone Variational Inequality Problems: An Approach Through the Modified Projection and Contraction Method

被引：0

作者：

Thong, Duong Viet ^{[1
]}

Dung, Vu Tien ^{[2
]}

Huyen, Pham Thi Huong ^{[1
]}

Tam, Hoang Thi Thanh ^{[1
]}

机构：

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

[2] Vietnam Natl Univ, Dept Math, 334 Nguyen Trai, Hanoi, Vietnam

来源：

NETWORKS & SPATIAL ECONOMICS | 2024年 / 24卷 / 04期

关键词：

Modified projection and contraction method; Two-step inertial; Variational inequality problem; Non-monotone mapping; Weak convergence; SUBGRADIENT EXTRAGRADIENT METHODS; EQUILIBRIUM PROBLEMS; CONVERGENCE; ALGORITHMS;

D O I：

10.1007/s11067-024-09638-y

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 introduce a novel approach to approximate the solution of variational inequality problems without relying on the monotonicity assumption. We propose a two-step inertial modified projection and contraction method for solving quasi-monotone and without-monotone variational inequalities in real Hilbert spaces. We establish a weak convergence result for the proposed method under suitable conditions. Additionally, numerical examples and a network equilibrium flow problem are provided to illustrate the effectiveness of our method and compare it with recent related methods in the literature.

引用

页码：789 / 818

页数：30

共 42 条

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