Some New Conditions for Solving Variational Inequalities Without Monotonicity

被引：0

作者：

Duong Viet Thong ^{[1
]}

机构：

[1] National Economics University,Fundamental Sciences Faculty

来源：

Journal of Optimization Theory and Applications | 2025年 / 206卷 / 2期

关键词：

Non-monotone mapping; relaxed inertial Tseng’s extragradient method; variational inequality; weak convergence; 65Y05; 65K15; 68W10; 47H09; 47J25;

D O I：

10.1007/s10957-025-02718-0

中图分类号：

学科分类号：

摘要：

This work aims to provide some new conditions for approximating a solution of the variational inequality problem without monotonicity in a real Hilbert space. We obtain a weak convergence result of the proposed method that hasn’t been investigated before in the literature. Our results improve and extend the relaxed inertial Tseng extragradient method for the class of nonlinear mappings without using any monotonicity.

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