Higher-Order Efficiency Conditions Via Higher-Order Tangent Cones

DOI10.1080/01630563.2013.809583zbMath1321.90149OpenAlexW2327967491MaRDI QIDQ5409726

Do Van Luu

Publication date: 14 April 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2013.809583

zbMATH Keywords

local Pareto minimumstrict local Pareto minimum of order \(n\)higher-order necessary and sufficient efficiency conditionshigher-order tangent cones

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46)

Related Items (11)

Higher-order efficiency conditions for constrained vector equilibrium problems ⋮ Quasi-contingent derivatives and studies of higher-orders in nonsmooth optimization ⋮ Higher-order efficiency conditions for continuously directional differentiable vector equilibrium problem with constraints ⋮ 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 ⋮ Higher-Order Optimality Conditions and Higher-Order Tangent Sets ⋮ Second-order necessary efficiency conditions for nonsmooth vector equilibrium problems ⋮ Unnamed Item ⋮ 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 ⋮ Higher-order tangent epiderivatives and applications to duality in set-valued optimization

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