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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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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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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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Journal of Mathematics, 2023 In real Hilbert spaces, let the CFPP indicate a common fixed-point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a ...
Yun-Ling Cui +6 more
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Journal of Function Spaces, 2021 The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk +2 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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Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 This paper considers an alternated inertial‐type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed‐point constraints of demimetric mapping.
Jacob Ashiwere Abuchu +5 more
wiley +1 more source