An Implicit Extragradient Method for Hierarchical Variational Inequalities [PDF]
Fixed Point Theory and Applications, 2011 As a well-known numerical method, the extragradient method solves numerically the variational inequality of finding such that , for all . In this paper, we devote to solve the following hierarchical variational inequality Find such that , for
Liou YeongCheng, Yao Yonghong
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An alternative extragradient projection method for quasi-equilibrium problems [PDF]
Journal of Inequalities and Applications, 2018 For the quasi-equilibrium problem where the players’ costs and their strategies both depend on the rival’s decisions, an alternative extragradient projection method for solving it is designed.
Haibin Chen, Yiju Wang, Yi Xu
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Bounded perturbation resilience of extragradient-type methods and their applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving a variational inequality (VI) problem in real Hilbert spaces.
Q-L Dong, A Gibali, D Jiang, Y Tang
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Extragradient Method for Fixed Points in CAT(0) Spaces [PDF]
Journal of Function Spaces, 2021 This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained.
Yu-Pei Lv +4 more
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A Mean Extragradient Method for Solving Variational Inequalities [PDF]
Symmetry, 2021 We propose a modified extragradient method for solving the variational inequality problem in a Hilbert space. The method is a combination of the well-known subgradient extragradient with the Mann’s mean value method in which the updated iterate is picked in the convex hull of all previous iterates.
Apichit Buakird +2 more
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Extended Extragradient Methods for Generalized Variational Inequalities [PDF]
Journal of Applied Mathematics, 2012 We suggest a modified extragradient method for solving the generalized variational inequalities in a Banach space. We prove some strong convergence results under some mild conditions on parameters. Some special cases are also discussed.
Yonghong Yao +3 more
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Parallel Extragradient-Proximal Methods for Split Equilibrium Problems
Mathematical Modelling and Analysis, 2016 In this paper, we introduce two parallel extragradient-proximal methods for solving split equilibrium problems. The algorithms combine the extragradient method, the proximal method and the shrinking projection method.
Dang Van Hieu
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities [PDF]
SIAM Journal on Optimization, 2017 We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudo-monotonicity. We provide convergence and complexity analysis, allowing for an unbounded feasible set, unbounded operator, non-uniform variance of the oracle and, also, we do not require any regularization. Alongside the
Roberto Oliveira, Alfredo Iusem
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Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we consider the algorithm proposed in recent years by Censor, Gibali and Reich, which solves split variational inequality problem, and Korpelevich’s extragradient method, which solves variational inequality problems. As our main result, we
Ming Tian, Bing-Nan Jiang
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Strong convergence of an extragradient-type algorithm for the multiple-sets split equality problem [PDF]
Journal of Inequalities and Applications, 2017 This paper introduces a new extragradient-type method to solve the multiple-sets split equality problem (MSSEP). Under some suitable conditions, the strong convergence of an algorithm can be verified in the infinite-dimensional Hilbert spaces.
Ying Zhao, Luoyi Shi
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