Strong convergence of a viscosity proximal point algorithm with new error sequences

In the paper, we consider a viscosity proximal point algorithm with over-relaxed factor for solving inclusion problem in the setting of Hilbert space. Moreover, we establish its strong convergences under two different error criteria, which generalize some existing conclusions.

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Bibliographic Details
Published inOptimization Vol. 74; no. 10; pp. 2469 - 2482
Main Author Wang, Yamin
Format Journal Article
LanguageEnglish
Published Taylor & Francis 27.07.2025
Subjects
error criterion
Hilbert space
Proximal point algorithm
reflected resolvent
strong convergence
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Summary:In the paper, we consider a viscosity proximal point algorithm with over-relaxed factor for solving inclusion problem in the setting of Hilbert space. Moreover, we establish its strong convergences under two different error criteria, which generalize some existing conclusions.
ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2024.2347979