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Tseng Type Methods for Inclusion and Fixed Point Problems with Applications

Author

Listed:
  • Raweerote Suparatulatorn

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand
    Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    These authors contributed equally to this work.)

  • Anchalee Khemphet

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd., Bangkok 10400, Thailand
    Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    These authors contributed equally to this work.)

Abstract

An algorithm is introduced to find an answer to both inclusion problems and fixed point problems. This algorithm is a modification of Tseng type methods inspired by Mann’s type iteration and viscosity approximation methods. On certain conditions, the iteration obtained from the algorithm converges strongly. Moreover, applications to the convex feasibility problem and the signal recovery in compressed sensing are considered. Especially, some numerical experiments of the algorithm are demonstrated. These results are compared to those of the previous algorithm.

Suggested Citation

  • Raweerote Suparatulatorn & Anchalee Khemphet, 2019. "Tseng Type Methods for Inclusion and Fixed Point Problems with Applications," Mathematics, MDPI, vol. 7(12), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1175-:d:293603
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    References listed on IDEAS

    as
    1. Prasit Cholamjiak & Suparat Kesornprom & Nattawut Pholasa, 2019. "Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings," Mathematics, MDPI, vol. 7(2), pages 1-19, February.
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