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<p>This paper mainly introduces a new modified Halpern-type splitting algorithm for solving the monotone inclusion problem in real reflexive Banach spaces. Furthermore, the strong convergence of the sequence generated by our algorithm is proved under some mild assumptions imposed on the operators and parameters. Finally, several numerical experiments are performed, which illustrate the effectiveness of our algorithm.</p>

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A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces

  • 期刊论文

  • 发表日期：

    2025年2月21日

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  • Lulu Chen,
  • Gang Cai,
  • Prasit Cholamjiak,
  • Papatsara Inkrong

摘要

This paper mainly introduces a new modified Halpern-type splitting algorithm for solving the monotone inclusion problem in real reflexive Banach spaces. Furthermore, the strong convergence of the sequence generated by our algorithm is proved under some mild assumptions imposed on the operators and parameters. Finally, several numerical experiments are performed, which illustrate the effectiveness of our algorithm.