Asymptotic Analysis for Penalty and Barrier Methods in Variational Inequalities

DOI10.1137/S0363012996310909zbMath0926.90075OpenAlexW1975931579MaRDI QIDQ4253005

Alfred Auslender

Publication date: 24 June 1999

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012996310909

zbMATH Keywords

maximal monotone operatorsvariational inequalitiesconvex analysisrecession functionspenalty and barrier methods

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear programming (90C30) Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05)

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Levitin-Polyak well-posedness of variational inequality problems with functional constraints ⋮ An estimation of exact penalty for infinite-dimensional inequality-constrained minimization problems ⋮ Characterizing the nonemptiness and compactness of the solution set of a vector variational inequality by scalarization ⋮ An approximate exact penalty in constrained vector optimization on metric spaces ⋮ An approximate exact penalty for vector inequality-constrained minimization problems ⋮ Characterizations of solution sets for parametric multiobjective optimization problems ⋮ On penalty method for equilibrium problems in lexicographic order ⋮ Characterizations of asymptotic cone of the solution set of a composite convex optimization problem ⋮ A power penalty approach to a mixed quasilinear elliptic complementarity problem

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