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

Lulu Chen (), Gang Cai (), Prasit Cholamjiak () and Papatsara Inkrong ()
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Lulu Chen: Chongqing Normal University
Gang Cai: Chongqing Normal University
Prasit Cholamjiak: University of Phayao
Papatsara Inkrong: University of Phayao

Journal of Global Optimization, 2025, vol. 91, issue 3, No 6, 559-585

Abstract: 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.

Keywords: Maximal monotone operator; Inclusion problem; Strong convergence; Banach spaces; 47H05; 47H07; 47H10; 54H25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10898-025-01467-8

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