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An Inertial Relaxed CQ Algorithm with Two Adaptive Step Sizes and Its Application for Signal Recovery

Author

Listed:
  • Teeranush Suebcharoen

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Raweerote Suparatulatorn

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Office of Research Administration, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Tanadon Chaobankoh

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Khwanchai Kunwai

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Thanasak Mouktonglang

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

Abstract

This article presents a novel inertial relaxed CQ algorithm for solving split feasibility problems. Note that the algorithm incorporates two adaptive step sizes here. A strong convergence theorem is established for the problem under some standard conditions. Additionally, we explore the utility of the algorithm in solving signal recovery problems. Its performance is evaluated against existing techniques from the literature.

Suggested Citation

  • Teeranush Suebcharoen & Raweerote Suparatulatorn & Tanadon Chaobankoh & Khwanchai Kunwai & Thanasak Mouktonglang, 2024. "An Inertial Relaxed CQ Algorithm with Two Adaptive Step Sizes and Its Application for Signal Recovery," Mathematics, MDPI, vol. 12(15), pages 1-16, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:15:p:2406-:d:1448489
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    References listed on IDEAS

    as
    1. Qiao-Li Dong & Songnian He & Michael Th. Rassias, 2021. "General splitting methods with linearization for the split feasibility problem," Journal of Global Optimization, Springer, vol. 79(4), pages 813-836, April.
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