Levitin-Polyak well-posedness for parametric quasivariational inequality problem of the Minty type

DOI10.1007/s11117-012-0188-2zbMath1334.90175OpenAlexW2051607954MaRDI QIDQ270049

C. S. Lalitha, Guneet Bhatia

Publication date: 7 April 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0188-2

zbMATH Keywords

set-valued mapgap functionapproximating sequenceLevitin-Polyak well-posednessquasivariational inequality

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items

Levitin–Polyak Well-Posedness of Strong Parametric Vector Quasi-equilibrium Problems ⋮ Well-posedness for the optimistic counterpart of uncertain vector optimization problems ⋮ Well-posedness of the split inverse variational inequality problem ⋮ Levitin-Polyak well-posedness by perturbations of split minimization problems ⋮ On some variational inequality-constrained control problems ⋮ Levitin-Polyak well-posedness for lexicographic vector equilibrium problems ⋮ Levitin-Polyak well-posedness by perturbations for the split inverse variational inequality problem ⋮ Well-posedness for parametric generalized vector quasivariational inequality problems of the minty type ⋮ Characterizations of Levitin–Polyak well-posedness by perturbations for the split variational inequality problem ⋮ Levitin-Polyak well-posedness for equilibrium problems with the lexicographic order ⋮ Levitin–Polyak well-posedness of generalized bilevel equilibrium problem with perturbations

Cites Work

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• Convexity and well-posed problems
• Levitin-Polyak well-posedness of constrained vector optimization problems
• Levitin-Polyak well-posedness of variational inequalities
• The generalized quasi-variational inequality problem with applications
• Extended well-posedness of optimization problems
• Well-posedness for optimization problems with constraints defined by variational inequalities having a unique solution
• Second order nonlinear evolution inclusions. II: Structure of the solution set
• Parametric well-posedness for variational inequalities defined by bifunctions
• Well-posedness and \(L\)-well-posedness for quasivariational inequalities
• Levitin–Polyak Type Well-Posedness in Constrained Optimization
• Well-posedness for parametric quasivariational inequality problems and for optimization problems with quasivariational inequality constraints
• A characterization of tyhonov well-posedness for minimum problems, with applications to variational inequalities^(∗)
• The Generalized Quasi-Variational Inequality Problem
• Constrained convex optimization problems-well-posedness and stability^*
• Well-posedness criteria in optimization with application to the calculus of variations
• Generalized Levitin--Polyak Well-Posedness in Constrained Optimization
• On the generalization of a direct method of the calculus of variations
• On the stability of the functional optimization problem
• Generalized Nash equilibrium problems