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A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces

Author

Listed:
  • Lulu Chen

    (Chongqing Normal University)

  • Gang Cai

    (Chongqing Normal University)

  • Prasit Cholamjiak

    (University of Phayao)

  • Papatsara Inkrong

    (University of Phayao)

Abstract

This paper mainly introduces a new modified Halpern-type splitting algorithm for solving the monotone inclusion problem in real reflexive Banach spaces. Furthermore, the strong convergence of the sequence generated by our algorithm is proved under some mild assumptions imposed on the operators and parameters. Finally, several numerical experiments are performed, which illustrate the effectiveness of our algorithm.

Suggested Citation

  • Lulu Chen & Gang Cai & Prasit Cholamjiak & Papatsara Inkrong, 2025. "A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces," Journal of Global Optimization, Springer, vol. 91(3), pages 559-585, March.
    • Handle: RePEc:spr:jglopt:v:91:y:2025:i:3:d:10.1007_s10898-025-01467-8
    DOI: 10.1007/s10898-025-01467-8
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    References listed on IDEAS

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    1. Boţ, R.I. & Csetnek, E.R. & Vuong, P.T., 2020. "The forward–backward–forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces," European Journal of Operational Research, Elsevier, vol. 287(1), pages 49-60.
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