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An optimization approach to solving the split feasibility problem in Hilbert spaces

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Abstract

We study the split feasibility problem with multiple output sets in Hilbert spaces. In order to solve this problem we introduce two iterative methods by using an optimization approach. Our iterative methods do not depend on the norm 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. The second author was supported by the Science and Technology Fund of the Thai Nguyen University of Sciences. All the authors are very grateful to two anonymous referees for their helpful comments and useful 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, Thái Nguyên, Vietnam

    Truong Minh Tuyen

  3. Thai Nguyen University of Agriculture and Forestry, Thái Nguyên, Vietnam

    Mai Thi Ngoc Ha

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

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Reich, S., Tuyen, T.M. & Ha, M.T.N. An optimization approach to solving the split feasibility problem in Hilbert spaces. J Glob Optim 79, 837–852 (2021). https://doi.org/10.1007/s10898-020-00964-2

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  • DOI: https://doi.org/10.1007/s10898-020-00964-2

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