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<p>This paper investigates the problem of finding a common solution of a split feasibility problem and a split fixed point problem involving multiple output sets. A dual inertial based iterative method, incorporating the Tikhonov regularization process and the viscosity technique, is proposed to solve the considered problem. Then, the strong convergence of the suggested method is demonstrated under mild assumptions on the control parameters. Some numerical examples are implemented to validate the superiority of the proposed iterative method. Finally, an application of the proposed method is given to reconstruct signals in compressed sensing.</p>

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On dual inertial methods for the split feasibility problem and split fixed point problem with multiple output sets with application in signal processing

  • 期刊论文

  • 发表日期：

    2026年3月11日

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  • Sonu Bai,
  • Prashanta Majee

摘要

This paper investigates the problem of finding a common solution of a split feasibility problem and a split fixed point problem involving multiple output sets. A dual inertial based iterative method, incorporating the Tikhonov regularization process and the viscosity technique, is proposed to solve the considered problem. Then, the strong convergence of the suggested method is demonstrated under mild assumptions on the control parameters. Some numerical examples are implemented to validate the superiority of the proposed iterative method. Finally, an application of the proposed method is given to reconstruct signals in compressed sensing.