Augmented Lagrangian methods for variational inequality problems
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Publication:5189878
DOI10.1051/ro/2010006zbMath1187.90293OpenAlexW2113278184MaRDI QIDQ5189878
Mostafa Nasri, Alfredo Noel Iusem
Publication date: 11 March 2010
Published in: RAIRO - Operations Research (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=RO_2010__44_1_5_0/
Minimax problems in mathematical programming (90C47) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Existence of solutions for minimax problems (49J35)
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Cites Work
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- Application of the proximal point method to nonmonotone equilibrium problems
- Auxiliary principle technique for equilibrium problems
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- On certain conditions for the existence of solutions of equilibrium problems
- Equilibrium programming using proximal-like algorithms
- Gap functions for equilibrium problems
- Equilibrium programming: Proximal methods
- A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
- Coercivity conditions for equilibrium problems
- New existence results for equilibrium problems
- Multiplier and gradient methods
- The multiplier method of Hestenes and Powell applied to convex programming
- Generalized monotone bifunctions and equilibrium problems
- On nonconvex equilibrium problems
- Existence Theorems for Generalized Noncoercive Equilibrium Problems: The Quasi-Convex Case
- INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
- On the proximal point method for equilibrium problems in Hilbert spaces
- Equilibrium problems and generalized Nash games
- Convergence of an adaptive penalty scheme for finding constrained equilibria
- On Penalty and Multiplier Methods for Constrained Minimization
- Combined Primal–Dual and Penalty Methods for Convex Programming
- Monotone Operators and the Proximal Point Algorithm
- Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
- Engineering and Economic Applications of Complementarity Problems
- Lagrangian Duality and Related Multiplier Methods for Variational Inequality Problems
- Iterative Algorithms for Equilibrium Problems
- A dual approach to solving nonlinear programming problems by unconstrained optimization
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A regularized Newton method for solving equilibrium programming problems with an inexactly specified set
- Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces
- Proximité et dualité dans un espace hilbertien
