An algorithm for approximating solutions of the split variational inclusion problem

We introduce and study an iterative algorithm to approximate a solution to the split variational inclusion problem in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some suitable conditions. As applications, we derive consequences for several special cases such a...

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Bibliographic Details
Published inOptimization Vol. 74; no. 4; pp. 871 - 892
Main Authors Tuyen, Truong Minh, Ha, Nguyen Song
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis 12.03.2025
Taylor & Francis LLC
Subjects
Fixed points (mathematics)
Hilbert space
Iterative algorithms
monotone operator
split variational inclusion
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Summary:We introduce and study an iterative algorithm to approximate a solution to the split variational inclusion problem in real Hilbert spaces. The strong convergence of the proposed algorithm is proved via some suitable conditions. As applications, we derive consequences for several special cases such as the split variational inequality problem, the split minimum point problem, and the split common fixed point problem. Finally, we present some numerical experiments to demonstrate the performance of the proposed algorithm.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2023.2269981