Stability of a solution set for parametric generalized vector mixed quasivariational inequality problem

DOI10.1186/1029-242X-2013-276zbMath1282.90186OpenAlexW2125089722WikidataQ59300125 ScholiaQ59300125MaRDI QIDQ2436144

Nguyen Van Hung

Publication date: 21 February 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-276

zbMATH Keywords

continuityupper semicontinuitylower semicontinuityH-continuityHausdorff lower semicontinuityparametric gap functionouter-continuityouter-opennessparametric generalized vector mixed quasivariational inequality problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (10)

Continuity of the solution set mappings for parametric unified weak quasivariational inequalities via free-disposal set mappings ⋮ Regularized gap functions and error bounds for generalized mixed strong vector quasiequilibrium problems ⋮ Semicontinuity of the minimal solution set mappings for parametric set-valued vector optimization problems ⋮ Painlevé-Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems ⋮ Well-posedness for parametric generalized vector quasivariational inequality problems of the minty type ⋮ Gap functions and error bounds for variational-hemivariational inequalities ⋮ Unnamed Item ⋮ Stability of approximating solutions to parametric bilevel vector equilibrium problems and applications ⋮ On the stability of solution mappings parametric generalized vector quasivariational inequality problems of the Minty type ⋮ Difference gap functions and global error bounds for random mixed equilibrium problems

Cites Work

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• A nonlinear scalarization function and generalized quasi-vector equilibrium problems
• Some existence results for vector quasivariational inequalities involving multifunctions and applications to traffic equilibrium problems
• On the lower semicontinuity of optimal solution sets

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