Augmented Lagrangian theory, duality and decomposition methods for variational inequality problems

DOI10.1023/A:1023664709604zbMath1046.49008OpenAlexW166252871MaRDI QIDQ1411499

D. Massart

Publication date: 29 October 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023664709604

zbMATH Keywords

variational inequalitiesdecompositionaugmented Lagrangians

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Decomposition methods (49M27)

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Cites Work

• Composition duality and maximal monotonicity
• New classes of generalized monotonicity
• Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming
• Dual variational inequalities
• An iterative solution of a variational inequality for certain monotone operators in Hilbert space
• A dual approach to solving nonlinear programming problems by unconstrained optimization
• Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
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