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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Bibliographic Details
Published in:Numerical functional analysis and optimization Vol. 44; no. 10; pp. 1031 - 1043
Main Authors: He, Huimin, Peng, Jigen, Fan, Qinwei
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 27.07.2023
Taylor & Francis Ltd
Subjects:
Algorithms
fixed points
Hadamard manifold
iterative algorithm
Manifolds
monotone inclusion problem
ISSN:0163-0563, 1532-2467
Online Access:Get full text
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Summary: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.
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content type line 14
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2023.2221896