Scholarlink

<p>This paper puts forth a new algorithm that utilizes a two-step inertial technique with adaptive step sizes in order to solve equilibrium problems in real Hilbert spaces. We prove that, under certain suitable conditions, our algorithm converges weakly to a solution of the equilibrium problem. Numerical experiments bolster our theoretical analysis, validating the efficacy of the proposed method in attaining convergence as predicted. In particular, the numerical findings align with and corroborate our theoretical proofs of weak convergence. Our results extend and improve some existing results in the literature regarding the subgradient extragradient method for solving equilibrium problems.</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

A novel result for approximating solutions to an equilibrium problem in a Hilbert space

  • 期刊论文

  • 发表日期：

    2025年11月7日

查看全文
  • Simeon Reich,
  • Duong Viet Thong,
  • Vu Tien Dung,
  • Pham Thi Hong Tham,
  • Nguyen Hai Duong

摘要

This paper puts forth a new algorithm that utilizes a two-step inertial technique with adaptive step sizes in order to solve equilibrium problems in real Hilbert spaces. We prove that, under certain suitable conditions, our algorithm converges weakly to a solution of the equilibrium problem. Numerical experiments bolster our theoretical analysis, validating the efficacy of the proposed method in attaining convergence as predicted. In particular, the numerical findings align with and corroborate our theoretical proofs of weak convergence. Our results extend and improve some existing results in the literature regarding the subgradient extragradient method for solving equilibrium problems.