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<p>In the present study, we propose a modified Tseng-type splitting projection algorithm, enhanced with double inertial extrapolation steps and relaxation procedures. The algorithm aims to solve equilibrium problems in which the associated bifunction is represented as the sum of two bifunctions. By imposing suitable assumptions on the component bifunctions, we proved the weak and strong convergence properties of the proposed algorithm. In addition, computational benefits of the proposed algorithms have been demonstrated through numerical experiments, including their application to Nash-Cournot oligopolistic equilibrium problems for electricity markets, and have been found to outperform other existing methods.</p>

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Inertial subgradient splitting projection methods for solving equilibrium problems and applications

  • 期刊论文

  • 发表日期：

    2025年10月7日

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  • Md Hifzur Rahaman,
  • Monirul Islam,
  • Syed Shakaib Irfan,
  • Jen-Chih Yao,
  • Xiaopeng Zhao

摘要

In the present study, we propose a modified Tseng-type splitting projection algorithm, enhanced with double inertial extrapolation steps and relaxation procedures. The algorithm aims to solve equilibrium problems in which the associated bifunction is represented as the sum of two bifunctions. By imposing suitable assumptions on the component bifunctions, we proved the weak and strong convergence properties of the proposed algorithm. In addition, computational benefits of the proposed algorithms have been demonstrated through numerical experiments, including their application to Nash-Cournot oligopolistic equilibrium problems for electricity markets, and have been found to outperform other existing methods.