4.6 Article

A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces

Journal

NUMERICAL ALGORITHMS
Volume 89, Issue 3, Pages 1031-1047

Publisher

SPRINGER
DOI: 10.1007/s11075-021-01144-3

Keywords

Hilbert space; Metric projection; Nonexpansive mapping; Fixed point

Funding

  1. Israel Science Foundation [820/17]
  2. Fund for the Promotion of Research at the Technion
  3. Technion General Research Fund
  4. Science and Technology Fund of the Thai Nguyen University of Sciences (TNUUniversity of Sciences)

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This research focuses on the split common fixed point problem with multiple output sets in Hilbert spaces. A new algorithm is proposed and a strong convergence theorem is established for solving the problem, as well as removing the assumptions on the norms of the transfer operators.
We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose a new algorithm and establish a strong convergence theorem for it. Moreover, using our method, we also remove the assumptions imposed on the norms of the transfer operators.

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