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A relaxed inertial and viscosity method for split feasibility problem and applications to image recovery

Author

Listed:
  • Haitao Che

    (Weifang University)

  • Yaru Zhuang

    (Qufu Normal University)

  • Yiju Wang

    (Qufu Normal University)

  • Haibin Chen

    (Qufu Normal University)

Abstract

In this paper, by combining Polyak’s inertial extrapolation technique for minimization problem with the viscosity approximation for fixed point problem, we develop a new type of numerical solution method for split feasibility problem. Under suitable assumptions, we establish the global convergence of the designed method. The given experimental results applied on the sparse reconstruction problem show that the proposed algorithm is not only robust to different levels of sparsity and amplitude of signals and the noise pixels but also insensitive to the diverse values of scalar weight. Further, the proposed algorithm achieves better restoration performance compared with some other algorithms for image recovery.

Suggested Citation

  • Haitao Che & Yaru Zhuang & Yiju Wang & Haibin Chen, 2023. "A relaxed inertial and viscosity method for split feasibility problem and applications to image recovery," Journal of Global Optimization, Springer, vol. 87(2), pages 619-639, November.
    • Handle: RePEc:spr:jglopt:v:87:y:2023:i:2:d:10.1007_s10898-022-01246-9
    DOI: 10.1007/s10898-022-01246-9
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