Scholarlink

<p>This work introduces a new condition on bifunctions for equilibrium problems, termed the uniform-type condition, which is weaker than the Lipschitz-type conditions. Based on this new framework, we analyze the convergence of the subgradient extragradient method with nonmonotone step sizes for solving equilibrium problems involving pseudomonotone operators in real Hilbert spaces. Notably, the proposed analytical approach is novel. Numerical experiments, including applications of the proposed algorithm to the Nash-Cournot equilibrium model and a traffic network equilibrium problem, further confirm its efficiency and broad applicability.</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

New conditions and convergence analysis for equilibrium problems

  • 期刊论文

  • 发表日期：

    2026年4月28日

查看全文
  • Meiying Wang,
  • Hongwei Liu,
  • Weifeng Gao

摘要

This work introduces a new condition on bifunctions for equilibrium problems, termed the uniform-type condition, which is weaker than the Lipschitz-type conditions. Based on this new framework, we analyze the convergence of the subgradient extragradient method with nonmonotone step sizes for solving equilibrium problems involving pseudomonotone operators in real Hilbert spaces. Notably, the proposed analytical approach is novel. Numerical experiments, including applications of the proposed algorithm to the Nash-Cournot equilibrium model and a traffic network equilibrium problem, further confirm its efficiency and broad applicability.