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

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 p...

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Bibliographic Details
Published in:	Journal of global optimization Vol. 91; no. 3; pp. 559 - 585
Main Authors:	Chen, Lulu, Cai, Gang, Cholamjiak, Prasit, Inkrong, Papatsara
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2025 Springer Nature B.V
Subjects:	Algorithms Banach spaces Computer Science Hilbert space Mathematics Mathematics and Statistics Operations Research/Decision Theory Optimization Real Functions Splitting Strong convergence 47H10 Maximal monotone operator 47H07 Banach spaces Inclusion problem 47H05 54H25
ISSN:	0925-5001, 1573-2916
Online Access:	Get full text
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