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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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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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Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities
Journal of Mathematics, 2021 In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor’s subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding ...
Danfeng Wu +3 more
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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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Mathematics, 2022 The paper develops a modified inertial subgradient extragradient method to find a solution to the variational inequality problem over the set of common solutions to the variational inequality and null point problems.
Yanlai Song, Omar Bazighifan
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Axioms, 2020 Several methods have been put forward to solve equilibrium problems, in which the two-step extragradient method is very useful and significant. In this article, we propose a new extragradient-like method to evaluate the numerical solution of the ...
Nopparat Wairojjana +3 more
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Advances in Difference Equations, 2020 In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces.
Yasir Arfat +5 more
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Journal of Inequalities and Applications, 2021 For the purpose of this article, we introduce a modified form of a generalized system of variational inclusions, called the generalized system of modified variational inclusion problems (GSMVIP).
Araya Kheawborisut, Atid Kangtunyakarn
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Mathematics, 2022 In a real Hilbert space, let the CFPP, VIP, and HFPP denote the common fixed-point problem of countable nonexpansive operators and asymptotically nonexpansive operator, variational inequality problem, and hierarchical fixed point problem, respectively ...
Yun-Ling Cui +6 more
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