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

被引：0
|
作者：
Chen, Lulu [1 ]
Cai, Gang [1 ]
Cholamjiak, Prasit [2 ]
Inkrong, Papatsara [2 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Univ Phayao, Sch Sci, Phayao 56000, Thailand
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2025年 / 91卷 / 03期
关键词：
Maximal monotone operator; Inclusion problem; Strong convergence; Banach spaces; STRONG-CONVERGENCE; PROXIMAL METHOD; OPERATORS; SUM; ITERATION; ZERO; WEAK;
D O I：
10.1007/s10898-025-01467-8
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
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.
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页码：559 / 585
页数：27
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