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<p>In this paper, we introduce a new Halpern-type splitting algorithm with novel stepsize rules and inertial technique to find a common solution of equilibrium problems and monotone inclusion problems in reflexive Banach spaces. Under certain appropriately imposed conditions on the parameters, we prove the strong convergence of the proposed method. Finally, some numerical experiments are conducted to verify the practical feasibility and effectiveness of our algorithm.</p>

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Modified Halpern-type splitting algorithm for common solutions of equilibrium problems and monotone inclusion problems in reflexive Banach spaces

  • 期刊论文

  • 发表日期：

    2026年3月4日

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  • Yue Dai,
  • Gang Cai,
  • Yekini Shehu,
  • Olaniyi Samuel Iyiola

摘要

In this paper, we introduce a new Halpern-type splitting algorithm with novel stepsize rules and inertial technique to find a common solution of equilibrium problems and monotone inclusion problems in reflexive Banach spaces. Under certain appropriately imposed conditions on the parameters, we prove the strong convergence of the proposed method. Finally, some numerical experiments are conducted to verify the practical feasibility and effectiveness of our algorithm.