Results 1 to 10 of about 142 (116)
A modified subgradient extragradient method for solving monotone variational inequalities. [PDF]
J Inequal Appl, 2017 In the setting of Hilbert space, a modified subgradient extragradient method is proposed for solving Lipschitz-continuous and monotone variational inequalities defined on a level set of a convex function.
He S, Wu T.
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Extragradient subgradient methods for solving bilevel equilibrium problems. [PDF]
J Inequal Appl, 2018 In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm.
Yuying T, Dinh BV, Kim DS, Plubtieng S.
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The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space. [PDF]
J Optim Theory Appl, 2011 We present a subgradient extragradient method for solving variational inequalities in Hilbert space. In addition, we propose a modified version of our algorithm that finds a solution of a variational inequality which is also a fixed point of a given nonexpansive mapping. We establish weak convergence theorems for both algorithms.
Censor Y, Gibali A, Reich S.
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Bounded perturbation resilience of extragradient-type methods and their applications. [PDF]
J Inequal Appl, 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.
Dong QL, Gibali A, Jiang D, Tang Y.
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A modified subgradient extragradient method for solving the variational inequality problem [PDF]
Numerical Algorithms, 2018 The subgradient extragradient method for solving the variational inequality (VI) problem, which is introduced by Censor et al. \cite{CGR}, replaces the second projection onto the feasible set of the VI, in the extragradient method, with a subgradient projection onto some constructible half-space.
Qiao-Li Dong, Aviv Gibali
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Projected-Reflected Subgradient-Extragradient Method and Its Real-World Applications [PDF]
Symmetry, 2021 Our main focus in this work is the classical variational inequality problem with Lipschitz continuous and pseudo-monotone mapping in real Hilbert spaces. An adaptive reflected subgradient-extragradient method is presented along with its weak convergence analysis.
Yekini Shehu, O S Iyiola, Aviv Gibali
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Inertial Subgradient Extragradient Methods for Solving Variational Inequality Problems and Fixed Point Problems [PDF]
Axioms, 2020 We propose two new iterative algorithms for solving K-pseudomonotone variational inequality problems in the framework of real Hilbert spaces. These newly proposed methods are obtained by combining the viscosity approximation algorithm, the Picard Mann ...
Godwin Amechi Okeke +2 more
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Axioms, 2023 In this work, we are concerned with the iterative approximation of solutions to equilibrium problems in the framework of Hadamard manifolds. We introduce a subgradient extragradient type method with a self-adaptive step size. The use of a step size which
Olawale Kazeem Oyewole, Simeon Reich
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Mathematics, 2020 In this paper, we study a modified viscosity type subgradient extragradient-line method with a parallel monotone hybrid algorithm for approximating a common solution of variational inequality problems.
Suthep Suantai +3 more
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Symmetry, 2022 In this paper, we introduce a new numerical method for finding a common solution to variational inequality problems involving monotone mappings and null point problems involving a finite family of inverse-strongly monotone mappings. The method is inspired by the subgradient extragradient method and the regularization method.
Yanlai Song
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