A projection method for bilevel variational inequalities
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Publication:2258668
DOI10.1186/1029-242X-2014-205zbMath1309.65075WikidataQ59322145 ScholiaQ59322145MaRDI QIDQ2258668
Le B. Long, Tran Viet Anh, Tran T. H. Anh
Publication date: 26 February 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
global convergencepseudomonotonicitybilevel variational inequalitiesLipschitz continuousstrongly monotonefixed point iteration algorithm
Variational inequalities (49J40) Numerical methods for variational inequalities and related problems (65K15)
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Existence of solution and algorithms for a class of bilevel variational inequalities with hierarchical nesting structure, An inertial projection and contraction method for solving bilevel quasimonotone variational inequality problems, Resolvent-Mann-type algorithm for bilevel problems with split feasibility problem constraint, Convergence of some iterative algorithms for system of generalized set-valued variational inequalities, Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography
Cites Work
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- Strong convergence for an iterative method for the triple-hierarchical constrained optimization problem
- An extragradient algorithm for solving bilevel pseudomonotone variational inequalities
- Neural networks for a class of bi-level variational inequalities
- Proximal methods for a class of bilevel monotone equilibrium problems
- Solving bilevel linear programs using multiple objective linear programming
- Equilibrium problems and variational models. Based on the meeting, Erice, Italy, June 23--July 2, 2000
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Using the Banach contraction principle to implement the proximal point method for multivalued monotone variational inequalities
- Solving two-level variational inequality
- Generalized projection method for non-Lipschitz multivalued monotone variational inequalities
- Convexly constrained linear inverse problems: iterative least-squares and regularization
- Bilevel convex programming models
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality
- Mathematical Programs with Equilibrium Constraints
