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<p>In this paper, we propose an inertial splitting proximal algorithm to solve equilibrium problems in a real Hilbert space, where the governing bifunction is the sum of two other bifunctions. We establish weak and strong convergence results for the proposed algorithm under suitable assumptions. Numerical experiments are presented to illustrate the algorithm’s performance, demonstrating that the splitting approach is particularly effective for strongly coupled problems and image restoration tasks, where it exhibits a significant computational time advantage over non-splitting methods.</p>

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Tseng relaxed golden ratio splitting algorithm for equilibrium problems

  • 期刊论文

  • 发表日期：

    2026年8月1日

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  • Kanchan Mittal,
  • Nimit Nimana,
  • Narin Petrot,
  • Habib ur Rehman,
  • Xiaopeng Zhao

摘要

In this paper, we propose an inertial splitting proximal algorithm to solve equilibrium problems in a real Hilbert space, where the governing bifunction is the sum of two other bifunctions. We establish weak and strong convergence results for the proposed algorithm under suitable assumptions. Numerical experiments are presented to illustrate the algorithm’s performance, demonstrating that the splitting approach is particularly effective for strongly coupled problems and image restoration tasks, where it exhibits a significant computational time advantage over non-splitting methods.