Optimality criteria in set-valued optimization

DOI10.1017/S1446788700003736zbMath1037.49019MaRDI QIDQ4458282

Misha G. Govil, C. S. Lalitha, Joydeep Dutta

Publication date: 17 March 2004

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

optimality conditionsset-valued optimizationcontingent epiderivativeClarke epiderivativecone-arcwise connectedness

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (14)

Using \(\rho \)-cone arcwise connectedness on parametric set-valued optimization problems ⋮ About contingent epiderivatives ⋮ On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ Connectedness of Henig weakly efficient solution set for set-valued optimization problems ⋮ On essential stable sets of solutions in set optimization problems ⋮ Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative ⋮ Second-order optimality conditions for cone-subarcwise connected set-valued optimization problems ⋮ Weak Clarke epiderivative in set-valued optimization ⋮ First-order optimality conditions in set-valued optimization ⋮ Global proper efficiency and vector optimization with cone-arcwise connected set-valued maps ⋮ Set Optimization—A Rather Short Introduction ⋮ OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE ⋮ Henig proper subdifferential of set-valued maps ⋮ Approximate solutions for nonconvex set-valued optimization and vector variational inequality

Cites Work

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• Contingent epiderivatives and set-valued optimization
• Contingent derivatives of set-valued maps and applications to vector optimization
• The Lagrange Multiplier Rule in Set-Valued Optimization
• Invexity in multifunction optimization

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