Scholarlink

<p>This paper introduces two novel self-adaptive extragradient projection methods for solving variational inequalities involving Lipschitz continuous and quasimonotone mappings in real Hilbert spaces. Our proposed methods incorporate an inertial step into a single projection framework, leveraging the potential advantages of inertial techniques to accelerate convergence. We rigorously establish strong convergence theorems for the proposed algorithms, providing theoretical guarantees for their convergence behavior under appropriate assumptions. Furthermore, to evaluate the practical efficacy of our methods, we present comprehensive numerical experiments and comparisons.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Algorithms for Finding Minimum-Norm Solutions of Quasimonotone Variational Inequalities

  • 期刊论文

  • 发表日期：

    2025年7月2日

查看全文
  • Duong Viet Thong,
  • Xiao-Huan Li,
  • Pham Thi Hong Tham,
  • Nguyen Hai Duong

摘要

This paper introduces two novel self-adaptive extragradient projection methods for solving variational inequalities involving Lipschitz continuous and quasimonotone mappings in real Hilbert spaces. Our proposed methods incorporate an inertial step into a single projection framework, leveraging the potential advantages of inertial techniques to accelerate convergence. We rigorously establish strong convergence theorems for the proposed algorithms, providing theoretical guarantees for their convergence behavior under appropriate assumptions. Furthermore, to evaluate the practical efficacy of our methods, we present comprehensive numerical experiments and comparisons.