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<p>In this paper, we study the split feasibility problem with multiple output sets in real Hilbert spaces. We propose a new projection algorithm for solving this problem. And the convergence of the iterative sequence generated by the proposed algorithm is obtained under appropriate assumption conditions. When the split feasibility problem satisfies some bounded linear regularity, the linear convergence of the generated sequences is proved. Finally, some numerical results demonstrate the feasibility and effectiveness of the proposed algorithm.</p>

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Linear convergence property of a new projection algorithm for split feasibility problem with multiple output sets

  • 期刊论文

  • 发表日期：

    2026年7月31日

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  • Xiaojie Sun,
  • Meixia Li,
  • Biao Qu,
  • Jingjing Tan

摘要

In this paper, we study the split feasibility problem with multiple output sets in real Hilbert spaces. We propose a new projection algorithm for solving this problem. And the convergence of the iterative sequence generated by the proposed algorithm is obtained under appropriate assumption conditions. When the split feasibility problem satisfies some bounded linear regularity, the linear convergence of the generated sequences is proved. Finally, some numerical results demonstrate the feasibility and effectiveness of the proposed algorithm.