<p>The purpose of this work is to investigate some new numerical approaches to finding a solution to the split common fixed point problem for the class of demicontractive operators. One advantage of these algorithms is that the strong convergence results for our proposed algorithms are proven without calculating the norms of the relevant bounded linear operators. We also provide some numerical examples to illustrate the superiority of our proposed algorithms and the application of our main results to signal processing.</p>

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New convergence results for algorithms for solving split common fixed point problems

  • Abubakar Adamu,
  • Simeon Reich,
  • Duong Viet Thong,
  • Hoang Van Thang,
  • Nguyen Thi An

摘要

The purpose of this work is to investigate some new numerical approaches to finding a solution to the split common fixed point problem for the class of demicontractive operators. One advantage of these algorithms is that the strong convergence results for our proposed algorithms are proven without calculating the norms of the relevant bounded linear operators. We also provide some numerical examples to illustrate the superiority of our proposed algorithms and the application of our main results to signal processing.