Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints

DOI10.1051/ro/2017042zbMath1398.90201OpenAlexW2618344475MaRDI QIDQ4553887

Do Van Luu, Tran Van Su

Publication date: 1 November 2018

Published in: RAIRO - Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ro/2017042

zbMATH Keywords

constraint qualificationsvector equilibrium problemslocal weak efficient solutionsFritz John and Karush-Kuhn-Tucker efficiency conditions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items (13)

Higher-order efficiency conditions for constrained vector equilibrium problems ⋮ Optimality conditions for efficiency in locally Lipschitz vector equilibrium problem with constraints in terms of Michel-Penot's directional derivatives ⋮ Higher-order Karush–Kuhn–Tucker optimality conditions for Borwein properly efficient solutions of multiobjective semi-infinite programming ⋮ New second-order optimality conditions for vector equilibrium problems with constraints in terms of contingent derivatives ⋮ Duality results for interval-valued pseudoconvex optimization problem with equilibrium constraints with applications ⋮ Scalarization and Optimality Conditions of E-Globally Proper Efficient Solution for Set-Valued Equilibrium Problems ⋮ Optimality and duality for nonsmooth mathematical programming problems with equilibrium constraints ⋮ Studniarski's derivatives and efficiency conditions for constrained vector equilibrium problems with applications ⋮ Second-order necessary and sufficient optimality conditions for constrained vector equilibrium problem with applications ⋮ Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives ⋮ Optimality conditions for the efficient solutions of vector equilibrium problems with constraints in terms of directional derivatives and applications ⋮ On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints ⋮ Some non-smooth optimality results for optimization problems with vanishing constraints via Dini-Hadamard derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Scalarization and optimality conditions for vector equilibrium problems
• About contingent epiderivatives
• Scalarization and Kuhn-Tucker-like conditions for weak vector generalized quasivariational inequalities
• Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives
• A generalized derivative for calm and stable functions
• Contingent epiderivatives and set-valued optimization
• On optimality conditions for vector variational inequalities
• Necessary and sufficient conditions for efficiency via convexificators
• Efficient solutions and optimality conditions for vector equilibrium problems
• Lagrange multipliers and infinite-dimensional equilibrium problems
• Equilibrium conditions and vector variational inequalities: a complex relation
• Optimality conditions for vector equilibrium problems
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• Contingent derivatives of set-valued maps and applications to vector optimization
• Variational characterization of the contingent epiderivative
• Optimality conditions for vector equilibrium problems in normed spaces
• Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives
• First order optimality conditions in vector optimization involving stable functions
• Convexificators and necessary conditions for efficiency
• Set-valued analysis

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