Results 1 to 10 of about 723 (113)
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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A modified subgradient extragradient method for solving monotone variational inequalities [PDF]
Journal of Inequalities and Applications, 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.
Songnian He, Tao Wu
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The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space [PDF]
Journal of Optimization Theory and Applications, 2010 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.
Yair Censor, Aviv Gibali
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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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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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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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Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems [PDF]
Journal of Inequalities and Applications, 2019 In this paper, we introduce and investigate composite inertial gradient-based algorithms with a line-search process for solving a variational inequality problem (VIP) with a pseudomonotone and Lipschitz continuous mapping and a common fixed-point problem
Lu-Chuan Ceng, Qing Yuan
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