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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
exaly   +3 more sources

Two adaptive modified subgradient extragradient methods for bilevel pseudomonotone variational inequalities with applications

Communications in Nonlinear Science and Numerical Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bing Tan 0001, Sun Young Cho
openaire   +3 more sources

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.
openaire   +1 more source

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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Halpern subgradient extragradient method extended to equilibrium problems

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
The author investigates the Halpern subgradient extragradient method extended to equilibrium problems. The author first provides some definitions and preliminary results and then proposes and analyzes the convergence of the proposed algorithms. Later the author presents a modification to the first algorithm to find the common element of the solution ...
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Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces

Journal of Optimization Theory and Applications, 2013
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Rapeepan Kraikaew, Satit Saejung
openaire   +3 more sources

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
openaire   +1 more source

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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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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A Modified Inertial Subgradient Extragradient Method for Solving Variational Inequalities

Optimization and Engineering, 2022
Yekini Shehu   +2 more
exaly  

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