First and second-order optimality conditions using approximations for vector equilibrium problems with constraints

DOI10.1007/s10898-012-9984-2zbMath1287.90078OpenAlexW2044400145MaRDI QIDQ1942013

Phan Quoc Khanh, Le Thanh Tung

Publication date: 25 March 2013

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-012-9984-2

zbMATH Keywords

optimality conditionsweak solutionssecond-order approximationsequilibrium problemsKy Fan inequalityfirm solutionsfirst-order approximationsBenson-proper solutionsHenig-proper solutionsstrong Henig-proper solutions

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) General equilibrium theory (91B50)

Related Items (9)

Optimality conditions for approximate quasi efficiency in set-valued equilibrium problems ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ On sensitivity analysis of parametric set-valued equilibrium problems under the weak efficiency ⋮ Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives ⋮ Optimality conditions and scalarization of approximate quasi weak efficient solutions for vector equilibrium problem ⋮ Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints ⋮ Karush-Kuhn-Tucker multiplier rules for efficient solutions of set-valued equilibrium problem with constraints ⋮ Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives ⋮ On optimality conditions for set-valued equilibrium problems

Cites Work

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• Kuhn-Tucker optimality conditions for vector equilibrium problems
• Scalarization and optimality conditions for vector equilibrium problems
• First and second order optimality conditions using approximations for nonsmooth vector optimization in Banach spaces
• First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization
• Unified representation of proper efficiency by means of dilating cones
• On the notion of proper efficiency in vector optimization
• Optimality conditions in differentiable vector optimization via second-order tangent sets
• Local uniqueness of solutions to Ky Fan vector inequalities using approximations as derivatives
• Hölder metric regularity of set-valued maps
• Approximate solutions and optimality conditions of vector variational inequalities in Banach spaces
• Optimality conditions for vector equilibrium problems
• Optimality conditions and duality for nonsmooth vector equilibrium problems with constraints
• Optimality conditions for vector equilibrium problems in normed spaces
• Optimization and nonsmooth analysis
• Second-Order Conditions for Optimization Problems with Constraints
• Second order approximations and dual necessary optimality conditions
• Optimality Conditions via Norm Scalarization in Vector Optimization
• Optimality Conditions for Several Types of Efficient Solutions of Set-Valued Optimization Problems
• Approximations and Metric Regularity in Mathematical Programming in Banach Space

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