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

Author

Listed:
  • Simeon Reich

    (The Technion – Israel Institute of Technology)

  • Truong Minh Tuyen

    (Thai Nguyen University of Sciences)

  • Mai Thi Ngoc Ha

    (Thai Nguyen University of Agriculture and Forestry)

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.

Suggested Citation

  • Simeon Reich & Truong Minh Tuyen & Mai Thi Ngoc Ha, 2021. "An optimization approach to solving the split feasibility problem in Hilbert spaces," Journal of Global Optimization, Springer, vol. 79(4), pages 837-852, April.
    • Handle: RePEc:spr:jglopt:v:79:y:2021:i:4:d:10.1007_s10898-020-00964-2
    DOI: 10.1007/s10898-020-00964-2
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    References listed on IDEAS

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    1. Dan Butnariu & Elena Resmerita, 2006. "Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces," Abstract and Applied Analysis, Hindawi, vol. 2006, pages 1-39, February.
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    Cited by:

    1. Simeon Reich & Truong Minh Tuyen, 2021. "Projection Algorithms for Solving the Split Feasibility Problem with Multiple Output Sets," Journal of Optimization Theory and Applications, Springer, vol. 190(3), pages 861-878, September.
    2. Simeon Reich & Truong Minh Tuyen, 2023. "The Generalized Fermat–Torricelli Problem in Hilbert Spaces," Journal of Optimization Theory and Applications, Springer, vol. 196(1), pages 78-97, January.

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