Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
https://doi.org/10.1007/s11075-019-00718-6Publisher, magazine: ,
Publication year: 2020
Lưu Trích dẫn Chia sẻAbstract
In this paper, we propose two extragradient methods for finding an element of the set of solutions of the bilevel pseudo-monotone variational inequality problems in real Hilbert spaces. The advantage of proposed algorithms requires only one projection onto the feasible set. The strong convergence theorems are proved under mild conditions. Our results improve related results in the literature. Finally, some numerical experiments are presented to show the efficiency and advantages of the proposed algorithms.
Tags: Subgradient extragradient method, Tseng’s extragradient method, Bilevel variational inequality problem, Pseudo-monotone mapping
Các bài viết liên quan đến tác giả Dương Việt Thông
An inertial method for solving split common fixed point problems
New extragradient-like algorithms for strongly pseudomonotone variational inequalities
Viscosity Approximation Method for Nonexpansive Semigroups in Banach Spaces
Weak convergence theorems for strongly continuous semigroups of pseudocontractions
Viscosity Approximation Method for Lipschitzian Pseudocontraction Semigroups in Banach Spaces
A new projection method for a class of variational inequalities