Results 1 to 10 of about 202 (128)

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
doaj   +8 more sources

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, Li-Jun Zhu, Zhuang Shan, Tzu-Chien Yin   +3 more
doaj   +3 more sources

Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems

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
doaj   +4 more sources

Mann Hybrid Deepest-Descent Extragradient Method with Line-Search Process for Hierarchical Variational Inequalities for Countable Nonexpansive Mappings

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, Lu-Chuan Ceng, Fang-Fei Zhang, Liang He, Jie Yin, Cong-Shan Wang, Hui-Ying Hu   +6 more
doaj   +3 more sources

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

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, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +3 more sources

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.
europepmc   +5 more sources

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz-type continuous bifunctions are involved in a real Hilbert space.
Gaobo Li
doaj   +3 more sources

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, Dong Qiao-Li   +2 more
exaly   +5 more sources

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.
europepmc   +6 more sources

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
doaj   +2 more sources