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Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems

Optimization, 2020
In this paper, we investigate the monotone variational inequalities and fixed point problems in Hilbert spaces. Two modified extragradient algorithms are presented for finding a common element of the set of fixed points of a pseudocontractive operator ...
Xiaopeng Zhao, Yonghong Yao
semanticscholar   +1 more source

Generalized Penalty and Regularization Method for Differential Variational-Hemivariational Inequalities

SIAM Journal on Optimization, 2021
The primary objective of this paper is to study a large class of differential variational-hemivariational inequalities involving history-dependent operators and constraints in a Banach space.
Zhenhai Liu, D. Motreanu, Shengda Zeng
semanticscholar   +1 more source

Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints

, 2020
This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach.
L. Ceng   +3 more
semanticscholar   +1 more source

Golden ratio algorithms for variational inequalities

Mathematical programming, 2018
The paper presents a fully adaptive algorithm for monotone variational inequalities. In each iteration the method uses two previous iterates for an approximation of the local Lipschitz constant without running a linesearch.
Yura Malitsky
semanticscholar   +1 more source

Modified subgradient extragradient algorithms for solving monotone variational inequalities

Optimization, 2018
In this paper, we introduce two new algorithms for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in real Hilbert space.
Jun Yang, Hongwei Liu, Zexian Liu
semanticscholar   +1 more source

Variance-Based Extragradient Methods with Line Search for Stochastic Variational Inequalities

SIAM Journal on Optimization, 2019
In this paper, we propose dynamic sampled stochastic approximated (DS-SA) extragradient methods for stochastic variational inequalities (SVIs) that are robust with respect to an unknown Lipschitz c...
A. Iusem   +3 more
semanticscholar   +1 more source

Nonsmooth variational inequalities on Hadamard manifolds

Applicable Analysis, 2018
Nonsmooth variational inequality problem (NVIP) and Minty nonsmooth variational inequality problem (MNVIP) in terms of a bifunction are considered in the setting of Hadamard manifolds.
Q. Ansari, Monirul Islam, Jen-Chih Yao
semanticscholar   +1 more source

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