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<p>In this work, the alternating inertial idea for solving monotone inclusion problems is investigated, and Halpern-type schemes are proposed in Hilbert spaces. Besides, strong convergence theorems are obtained. Applications to the Lasso problem, image denoising, and some numerical experiments demonstrating the effectiveness and practicability of the algorithms are presented.</p>

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An alternating inertial method for the inclusion problem and applications

  • 期刊论文

  • 发表日期：

    2025年9月15日

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  • Chang Chen,
  • Yan Tang

摘要

In this work, the alternating inertial idea for solving monotone inclusion problems is investigated, and Halpern-type schemes are proposed in Hilbert spaces. Besides, strong convergence theorems are obtained. Applications to the Lasso problem, image denoising, and some numerical experiments demonstrating the effectiveness and practicability of the algorithms are presented.