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

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Abstract

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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Acknowledgements

The first author was partially supported by the Israel Science Foundation (Grant 820/17), by the Fund for the Promotion of Research at the Technion and by the Technion General Research Fund. Truong Minh Tuyen was supported by the Science and Technology Fund of the Thai Nguyen University of Sciences (TNUUniversity of Sciences). All the authors are very grateful to an anonymous referee for providing them with useful comments and helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, The Technion – Israel Institute of Technology, 32000, Haifa, Israel

    Simeon Reich

  2. Department of Mathematics and Informatics, Thai Nguyen University of Sciences, Thai Nguyen, Vietnam

    Truong Minh Tuyen

  3. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam

    Nguyen Thi Thu Thuy

  4. Thai Nguyen University of Agriculture and Forestry, Thai Nguyen, Vietnam

    Mai Thi Ngoc Ha

Authors
  1. Simeon Reich
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  2. Truong Minh Tuyen
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  3. Nguyen Thi Thu Thuy
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  4. Mai Thi Ngoc Ha
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Correspondence to Truong Minh Tuyen.

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Reich, S., Tuyen, T.M., Thuy, N.T.T. et al. A new self-adaptive algorithm for solving the split common fixed point problem with multiple output sets in Hilbert spaces. Numer Algor 89, 1031–1047 (2022). https://doi.org/10.1007/s11075-021-01144-3

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  • DOI: https://doi.org/10.1007/s11075-021-01144-3

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