Application of penalty methods to non-stationary variational inequalities

DOI10.1016/j.na.2013.07.015zbMath1308.90181OpenAlexW2077816443MaRDI QIDQ2254304

Yanyan Li

Publication date: 4 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.07.015

zbMATH Keywords

regularizationvariational inequalitycoercivity conditionspenalty methodnon-stationarityapproximation sequencenon-monotone mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for variational inequalities and related problems (65K15)

Related Items (7)

Penalty Method for Non-Stationary General Variational Like Inequalities ⋮ Limit vector variational inequalities and market equilibrium problems ⋮ Limit vector variational inequality problems via scalarization ⋮ Iterative Method for Non-Stationary Mixed Variational Inequalities ⋮ Two-level iterative method for non-stationary mixed variational inequalities ⋮ Application of penalty methods to generalized variational inequalities in Banach spaces ⋮ An inexact penalty method for non stationary generalized variational inequalities

Cites Work

• Nonmonotone equilibrium problems: Coercivity conditions and weak regularization
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• Penalization in non-classical convex programming via variational convergence
• Convergence of diagonally stationary sequences in convex optimization
• Coupling the auxiliary problem principle and epiconvergence theory to solve general variational inequalities
• A lagrangian penalty function method for monotone variational inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A stabilization method for equilibrium programming problems with an approximately given set
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