Scalarization and Kuhn-Tucker-like conditions for weak vector generalized quasivariational inequalities

DOI10.1007/S10957-006-9104-XzbMath1123.49004OpenAlexW2029411342MaRDI QIDQ868551

Maria Romaniello, Jacqueline Morgan

Publication date: 6 March 2007

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

Full work available at URL: https://doi.org/10.1007/s10957-006-9104-x

zbMATH Keywords

vector optimizationset-valued operatorsgeneralized Kuhn-Tucker conditionsscalarization methodsweak vector generalized quasivariational inequalities

Mathematics Subject Classification ID

Variational inequalities (49J40) Set-valued and variational analysis (49J53) Optimality conditions for problems in abstract spaces (49K27)

Related Items (22)

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 ⋮ Optimality condition for local efficient solutions of vector equilibrium problems via convexificators and applications ⋮ New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives ⋮ Kuhn-Tucker optimality conditions for vector equilibrium problems ⋮ Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems ⋮ Optimality conditions for the Henig efficient solution of vector equilibrium problems with constraints ⋮ On Optimality Conditions for Henig Efficiency and Superefficiency in Vector Equilibrium Problems ⋮ Efficient solutions and optimality conditions for vector equilibrium problems ⋮ Second-Order Optimality Conditions for Set-Valued Vector Equilibrium Problems ⋮ Optimality conditions for vector equilibrium problems ⋮ Chebyshev scalarization of solutions to the vector equilibrium problems ⋮ Scalarization and optimality conditions for vector equilibrium problems ⋮ On optimality conditions for vector variational inequalities ⋮ On Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Equilibrium Constraints ⋮ Optimality conditions for strong vector equilibrium problems under a weak constraint qualification ⋮ Optimality conditions for vector equilibrium problems with constraint in Banach spaces ⋮ Duality in \(\varepsilon \)-variational inequality problems ⋮ Optimality conditions of globally efficient solution for vector equilibrium problems with generalized convexity ⋮ Optimality conditions for vector equilibrium problems in normed spaces ⋮ Necessary efficiency conditions for vector equilibrium problems with general inequality constraints via convexificators ⋮ Second-order composed contingent epiderivatives and set-valued vector equilibrium problems

Cites Work

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• On the stability of generalized vector quasivariational inequality problems
• Generalized variational inequalities with pseudomonotone operators under perturbations
• The generalized vector quasi-variational-like inequalities
• Existence of solutions for a generalized vector quasivariational inequality

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