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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
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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
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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
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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
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Weighted Variational Inequalities
Journal of Optimization Theory and Applications, 2005From the authors' summary: In this paper, we introduce weighted variational inequalities over product of sets and system of weighted variational inequalities. It is noted that the weighted variational inequality problem over product of sets and the problem of system of weighted variational inequalities are equivalent.
Ansari, Q. H., Khan, Z., Siddiqi, A. H.
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, 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
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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
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Golden ratio algorithms for variational inequalities
Mathematical programming, 2018The 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
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Variance-Based Extragradient Methods with Line Search for Stochastic Variational Inequalities
SIAM Journal on Optimization, 2019In 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
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Acta Mathematica Scientia, 1984
The aim of this paper is to study a somewhat new class of variational inequalities as well as to generalize certain useful resuls including linear and non-linear problems. We are concerned with: the construction of a star set, the main theorem, variational inequality for monotone operators, the case with a mapping piecewise defined and an approximation
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The aim of this paper is to study a somewhat new class of variational inequalities as well as to generalize certain useful resuls including linear and non-linear problems. We are concerned with: the construction of a star set, the main theorem, variational inequality for monotone operators, the case with a mapping piecewise defined and an approximation
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Modified subgradient extragradient algorithms for solving monotone variational inequalities
Optimization, 2018In 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
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On Quasimonotone Variational Inequalities
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aussel, D., Hadjisavvas, N.
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