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Optimization
A Journal of Mathematical Programming and Operations Research
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Research Article

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

Received 16 Aug 2022, Accepted 17 Apr 2024, Published online: 02 May 2024
 

Abstract

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.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

The research of Y. Wang was supported in part by the Starting Research Fund from the Shaoxing University with grant no. 20225010, National Natural Science Foundation of China with grant no. 11901171, and 2023 Henan Normal University Continuing Research Project with grant no. 20230158.

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