Optimality conditions in non-convex set-valued optimization

DOI10.1007/s001860100130zbMath1031.90032OpenAlexW2045552614MaRDI QIDQ1396981

Fabián Flores-Bazan

Publication date: 15 July 2003

Published in: Mathematical Methods of Operations Research (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/172988

zbMATH Keywords

optimality conditionsepiderivativesclosed radial coneNon-convex set-valued optimizationweak Pareto minima

Mathematics Subject Classification ID

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

Related Items (25)

GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS ⋮ Optimality conditions for the difference of convex set-valued mappings ⋮ Higher-order optimality conditions in set-valued optimization using radial sets and radial derivatives ⋮ Sequential characterizations of approximate solutions in convex vector optimization problems with set-valued maps ⋮ Subdifferential and optimality conditions for the difference of set-valued mappings ⋮ Generalized derivatives and optimality conditions in nonconvex optimization ⋮ Higher-order radial derivatives and optimality conditions in nonsmooth vector optimization ⋮ On generalized \(\epsilon \)-subdifferential and radial epiderivative of set-valued mappings ⋮ Second-Order Composed Radial Derivatives of the Benson Proper Perturbation Map for Parametric Multi-Objective Optimization Problems ⋮ Second-Order Modified Contingent Epiderivatives in Set-Valued Optimization ⋮ ε-Optimality Conditions for Vector Optimization Problems with Set-Valued Maps ⋮ New second-order radial epiderivatives and nonconvex set-valued optimization problems ⋮ First-order optimality conditions in set-valued optimization ⋮ Radial epiderivatives and set-valued optimization ⋮ Set Optimization—A Rather Short Introduction ⋮ Generalized radial epiderivatives and nonconvex set-valued optimization problems ⋮ Higher-order variational sets and higher-order optimality conditions for proper efficiency in set-valued nonsmooth vector optimization ⋮ Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems ⋮ Mixed Type Duality for Set-valued Optimization Problems via Higher-order Radial Epiderivatives ⋮ Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems ⋮ Higher-order generalized radial epiderivative and its applications to set-valued optimization problems ⋮ A multiplier rule in set-valued optimisation ⋮ Second-order optimality conditions in set-valued optimization via asymptotic derivatives ⋮ Extended radial epiderivatives of non-convex vector-valued maps and parametric quasiconvex programming

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