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Strong convergence of subgradient extragradient method with regularization for solving variational inequalities

Optimization and Engineering, 2020
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Van Hieu, Dang   +2 more
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New subgradient extragradient methods for common solutions to equilibrium problems

Computational Optimization and Applications, 2017
This paper proposes three parallel hybrid subgradient extragradient methods for finding a common solution of a family of equilibrium problems in Hilbert spaces. The algorithms originate from the variational inequality literature. Strong convergence results are given under standard assumptions on the bifunction.
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A subgradient extragradient method for equilibrium problems on Hadamard ‎manifolds

2022
‎It is generalized the subgradient extragradient algorithm from linear spaces to nonlinear cases‎. ‎This algorithm introduces a method for solving equilibrium problems on Hadamard manifolds‎. ‎The global convergence of the algorithm is presented for pseudo-monotone and Lipschitz-type continuous bifunctions‎.
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New subgradient extragradient methods for solving monotone bilevel equilibrium problems

Optimization, 2019
In this paper, we propose new subgradient extragradient methods for finding a solution of a strongly monotone equilibrium problem over the solution set of another monotone equilibrium problem which...
Pham, Ngoc Anh, Le Thi, Hoai An
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Parallel and cyclic hybrid subgradient extragradient methods for variational inequalities

Afrika Matematika, 2016
The author proposes two hybrid subgradient extragradient methods for solving common solutions of variational inequalities problems (CSVIP). The first is a parallel algorithm which can be performed simultaneously while the second is a cyclic algorithm which is computed sequentially on each subproblem in the family.
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On the convergence of inertial two-subgradient extragradient method for variational inequality problems

Optimization, 2019
In 2012, Censor et al. proposed the so-called two-subgradient extragradient method (TSEGM) in which both projections have an explicit-formula because the projections are just executed onto half-spa...
Yu Cao, Ke Guo
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An improved inertial extragradient subgradient method for solving split variational inequality problems

Boletín de la Sociedad Matemática Mexicana, 2022
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Accelerated subgradient extragradient methods with increasing self-adaptive step size for variational inequalities

Communications in Nonlinear Science and Numerical Simulation
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Zhongbing Xie, Min Li
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