First and second-order Lagrange claims for set-valued maps

DOI10.1007/s10957-007-9179-zzbMath1146.90086OpenAlexW1967619906MaRDI QIDQ2471083

Marius Durea

Publication date: 18 February 2008

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-007-9179-z

zbMATH Keywords

derivativesBouligand tangent cone

Mathematics Subject Classification ID

Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items (5)

First and second-order optimality conditions without differentiability in multivalued vector optimization ⋮ Optimality conditions for weak and firm efficiency in set-valued optimization ⋮ Second-Order Modified Contingent Epiderivatives in Set-Valued Optimization ⋮ Vector optimization problems with quasiconvex constraints ⋮ Second-order conditions for open-cone minimizers and firm minimizers in set-valued optimization subject to mixed constraints

Cites Work

• Approximate efficiency and scalar stationarity in unbounded nonsmooth convex vector optimization problems
• Separate necessary and sufficient conditions for the local minimum of a function
• First and second order optimality conditions for set-valued optimization problems
• Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
• Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems
• Set-valued analysis
• On an extended Lagrange claim

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