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New Subgradient Extragradient Methods for Solving Monotone Bilevel Equilibrium Problems
Optimization, 2019In 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
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Communications in Nonlinear Science and Numerical Simulation, 2022
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Bing Tan 0001, Sun Young Cho
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Bing Tan 0001, Sun Young Cho
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A subgradient extragradient method for equilibrium problems on Hadamard manifolds
2022It 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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Optimization and Engineering, 2020
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Van Hieu, Dang +2 more
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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, 2016The 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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Journal of Optimization Theory and Applications, 2013
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Rapeepan Kraikaew, Satit Saejung
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Rapeepan Kraikaew, Satit Saejung
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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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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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Parallel and cyclic hybrid subgradient extragradient methods for variational inequalities
Afrika Matematika, 2016The 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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Communications in Nonlinear Science and Numerical Simulation
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Zhongbing Xie, Min Li
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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, 2022Yekini Shehu +2 more
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