FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

In this paper, we prove the finite convergence of sequences generated by (inexact and exact) proximal point methods for solving pseudomonotone equilibrium problems on Hadamard manifolds under the linear conditioning of the solution set. Keywords: Equilibrium problems; Hadamard manifolds; pseudomonotone bifunction; linear conditioning; finite convergence; proximal point method.

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Publication Details

Journal
Vinh University Journal of Science
Published
2025-03-20
DOI
https://doi.org/10.56824/vujs.2024a150a
Primary Topic
Iterative Methods for Nonlinear Equations
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article
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article

FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

Nguyen Thi Huyen Thu
Vinh University Journal of Science
Iterative Methods for Nonlinear Equations
article

FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS

Nguyen Thi Huyen Thu
article en

Abstract

In this paper, we prove the finite convergence of sequences generated by (inexact and exact) proximal point methods for solving pseudomonotone equilibrium problems on Hadamard manifolds under the linear conditioning of the solution set. Keywords: Equilibrium problems; Hadamard manifolds; pseudomonotone bifunction; linear conditioning; finite convergence; proximal point method.

Vinh University Journal of ScienceVol. 54(1A)
Openalex Percentile: Top 91%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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FINITE CONVERGENCE OF THE PROXIMAL POINT METHOD FOR SOLVING EQUILIBRIUM PROBLEMS ON HADAMARD MANIFOLDS — Nguyen Thi Huyen Thu · Vinh University Journal of Science (2025) | TGRS Research Map | TGRS