On optimality conditions for vector variational inequalities

DOI10.1016/j.jmaa.2013.11.011zbMath1329.49037OpenAlexW2040108245MaRDI QIDQ2019160

Dinh Dieu Hang, Do Van Luu

Publication date: 27 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.011

zbMATH Keywords

optimality conditionsvector variational inequalitiesconstraint qualificationsweak efficient solutionsClarke subdifferentialsMichel-Penot subdifferentialsglobal efficient solutions

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

Related Items (11)

Scalarization and optimality conditions for the approximate solutions to vector variational inequalities in Banach spaces ⋮ Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints ⋮ New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces ⋮ Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications ⋮ Optimality conditions for efficiency in locally Lipschitz vector equilibrium problem with constraints in terms of Michel-Penot's directional derivatives ⋮ Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems ⋮ On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems ⋮ A study of generalized vector variational inequalities via vector optimization problems ⋮ On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints ⋮ Necessary efficiency conditions for vector equilibrium problems with general inequality constraints via convexificators ⋮ Optimality conditions for the efficient solutions of vector equilibrium problems with constraints in terms of directional derivatives and applications

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