A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds

In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly nonexpansive mappings and the solution set of zero points of the monotone inclusion problems on Hadama...

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Veröffentlicht in:Numerical functional analysis and optimization Jg. 44; H. 10; S. 1031 - 1043
Hauptverfasser: He, Huimin, Peng, Jigen, Fan, Qinwei
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Taylor & Francis 27.07.2023
Taylor & Francis Ltd
Schlagworte:
Algorithms
fixed points
Hadamard manifold
iterative algorithm
Manifolds
monotone inclusion problem
ISSN:0163-0563, 1532-2467
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Zusammenfassung:In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly nonexpansive mappings and the solution set of zero points of the monotone inclusion problems on Hadamard manifolds, the main results in this paper extended and improved some recent related results.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2023.2221896