<p>We introduce and study an explicit iterative algorithm for solving the split common solution problem with multiple output sets in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some simple conditions. As applications, we derive consequences for several special cases of the split common fixed point problem, the split feasibility problem, the split common zero point problem, and the split minimum point problem with multiple output sets. Finally, we present four numerical experiments to demonstrate the performance of the proposed algorithm.</p>

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An explicit iterative algorithm for solving the split common solution problem with multiple output sets

  • Truong Minh Tuyen,
  • Nguyen Song Ha

摘要

We introduce and study an explicit iterative algorithm for solving the split common solution problem with multiple output sets in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some simple conditions. As applications, we derive consequences for several special cases of the split common fixed point problem, the split feasibility problem, the split common zero point problem, and the split minimum point problem with multiple output sets. Finally, we present four numerical experiments to demonstrate the performance of the proposed algorithm.