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<p>This paper presents a new approach to solving the split common solution problem for monotone operator equations in real Hilbert spaces. To address this problem, we propose a novel iterative algorithm based on the two-point inertial proximal point method. Under mild conditions on the parameter control, we establish the weak convergence of the proposed algorithm.</p>

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Two-step inertial proximal point algorithm for the split common solution problem of monotone operator equations

  • 期刊论文

  • 发表日期：

    2025年7月16日

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  • Phan Thi Van Huyen,
  • Tran Thi Huong,
  • Truong Minh Tuyen

摘要

This paper presents a new approach to solving the split common solution problem for monotone operator equations in real Hilbert spaces. To address this problem, we propose a novel iterative algorithm based on the two-point inertial proximal point method. Under mild conditions on the parameter control, we establish the weak convergence of the proposed algorithm.