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<p>In this work, we propose two inertial-type projected subgradient splitting schemes for addressing non-monotone equilibrium problems defined by the sum of two bifunctions in real Hilbert spaces. Under suitable conditions imposed on the bifunctions, we prove that the iterates generated by the proposed methods converge, both in the weak and strong senses. The practical performance of the algorithms is illustrated through computational experiments on a Nash-Cournot oligopolistic electricity market model and on mixed variational inequality problems, with comparative results highlighting their competitive performance against existing algorithms.</p>

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Inertial Projected Subgradient Splitting Algorithm for Equilibrium Problems

  • 期刊论文

  • 发表日期：

    2026年7月13日

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  • Kanchan Mittal,
  • Habib ur Rehman,
  • Christiane Tammer,
  • Jen-Chih Yao,
  • Xiaopeng Zhao

摘要

In this work, we propose two inertial-type projected subgradient splitting schemes for addressing non-monotone equilibrium problems defined by the sum of two bifunctions in real Hilbert spaces. Under suitable conditions imposed on the bifunctions, we prove that the iterates generated by the proposed methods converge, both in the weak and strong senses. The practical performance of the algorithms is illustrated through computational experiments on a Nash-Cournot oligopolistic electricity market model and on mixed variational inequality problems, with comparative results highlighting their competitive performance against existing algorithms.