Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence

Diem, Huynh Thi Hong; Khanh, Phan Quoc

doi:10.1007/s11228-023-00704-0

Set-Valued Var. Anal

2023

DOI: 10.1007/s11228-023-00704-0

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Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence

Huynh Thi Hong Diem,

Phan Quoc Khanh

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2024

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Cited by 1 publication

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A proximal bundle technique for solving equilibrium problems with inexact information

Feng,

Huang,

Zhang

et al. 2024

J. Phys.: Conf. Ser.

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In this study, we describe a bundle approach used to solve the nonsmooth equilibrium problems was described. Firstly, a general algorithm was considered, and the algorithm’s validity was demonstrated by showing how it can provide a sequence that converges to an approximate solution for the equilibrium problem. Moreover, in this strategy, using the inaccurate value of the objective function and the approximate gradient of the adjacent points, a proximal bundle algorithm is created to solve equilibrium problems, and the inaccurate value makes the subproblem easy to solve and maintains convergence. So, we find a simpler way to solve the equilibrium problem.

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A proximal bundle technique for solving equilibrium problems with inexact information

Feng,

Huang,

Zhang

et al. 2024

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

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Approximations of Quasi-Equilibria and Nash Quasi-Equilibria in Terms of Variational Convergence

Cited by 1 publication

References 17 publications

A proximal bundle technique for solving equilibrium problems with inexact information

A proximal bundle technique for solving equilibrium problems with inexact information

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