Scalarization and optimality conditions for strict minimizers in multiobjective optimization via contingent epiderivatives

DOI10.1016/j.jmaa.2008.11.045zbMath1160.90652OpenAlexW2041983430MaRDI QIDQ1018687

Miguel Sama, Vicente Novo Sanjurjo, Bienvenido Jiménez

Publication date: 20 May 2009

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.2008.11.045

zbMATH Keywords

vector optimizationscalarizationstrict efficiencycontingent derivativescontingent hypoderivatives/epiderivatives

Mathematics Subject Classification ID

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

Related Items (21)

Second-Order Optimality Conditions for Strict Pareto Minima and Weak Efficiency for Nonsmooth Constrained Vector Equilibrium Problems ⋮ The role of directional compactness in the existence and computation of contingent epiderivatives ⋮ Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints ⋮ Optimality Conditions for Vector Equilibrium Problems in Terms of Contingent Epiderivatives ⋮ Duality results for interval-valued pseudoconvex optimization problem with equilibrium constraints with applications ⋮ Necessary optimality conditions for second-order local strict efficiency for constrained nonsmooth vector equilibrium problems ⋮ Optimality and duality for nonsmooth mathematical programming problems with equilibrium constraints ⋮ Higher-order conditions for strict local Pareto minima in terms of generalized lower and upper directional derivatives ⋮ On isolated/properly efficient solutions in nonsmooth robust semi-infinite multiobjective optimization ⋮ Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization ⋮ Some remarks on the existence and computation of contingent epiderivatives ⋮ Unnamed Item ⋮ Isolated and proper efficiencies in semi-infinite vector optimization problems ⋮ Isolated efficiency in nonsmooth semi-infinite multi-objective programming ⋮ Necessary optimality conditions for weak sharp minima in set-valued optimization ⋮ Stability analysis of conically perturbed linearly constrained least-squares problems by optimizing the regularized trajectories ⋮ Optimality conditions in terms of contingent epiderivatives for strict local Pareto minima in vector optimization problems with constraints ⋮ Necessary and sufficient optimality conditions for constrained vector equilibrium problems using contingent hypoderivatives ⋮ OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE ⋮ On sufficiency and duality theorems for nonsmooth semi-infinite mathematical programming problem with equilibrium constraints ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

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