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<p>The primary objective of this study is to establish the convergence theorem associated with the modified inertial projected forward–backward algorithm using line search techniques. Many applications in applied sciences can be modeled as constrained convex minimization problems. Our numerical experiments offer practical applications for resolving image deblurring issues. The results of our numerical analysis conclusively indicate that the proposed algorithms exhibit greater efficiency than those previously introduced in the literature.</p>

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A modified inertial projected forward–backward algorithm for convex optimization problems

  • 期刊论文

  • 发表日期：

    2025年1月8日

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  • Kunrada Kankam,
  • Papatsara Inkrong,
  • Prasit Cholamjiak

摘要

The primary objective of this study is to establish the convergence theorem associated with the modified inertial projected forward–backward algorithm using line search techniques. Many applications in applied sciences can be modeled as constrained convex minimization problems. Our numerical experiments offer practical applications for resolving image deblurring issues. The results of our numerical analysis conclusively indicate that the proposed algorithms exhibit greater efficiency than those previously introduced in the literature.