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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Vydáno v:Numerical functional analysis and optimization Ročník 44; číslo 10; s. 1031 - 1043
Hlavní autoři: He, Huimin, Peng, Jigen, Fan, Qinwei
Médium: Journal Article
Jazyk:angličtina
Vydáno: Abingdon Taylor & Francis 27.07.2023
Taylor & Francis Ltd
Témata:
Algorithms
fixed points
Hadamard manifold
iterative algorithm
Manifolds
monotone inclusion problem
ISSN:0163-0563, 1532-2467
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2023.2221896