Weak Clarke epiderivative in set-valued optimization

DOI10.1016/j.jmaa.2007.11.057zbMath1149.49018OpenAlexW2064492406MaRDI QIDQ2481880

R. Arora, C. S. Lalitha

Publication date: 15 April 2008

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.2007.11.057

zbMATH Keywords

optimality conditionsset-valued optimizationgeneralized derivative for set-valued mappingsweak Clarke epiderivative

Mathematics Subject Classification ID

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

Related Items (10)

Generic stability of the solution mapping for set-valued optimization problems ⋮ First and second-order optimality conditions without differentiability in multivalued vector optimization ⋮ The existence of contingent epiderivative for a set-valued mapping and vector variational-like inequalities ⋮ Higher-order weakly generalized epiderivatives and applications to optimality conditions ⋮ Second-order optimality conditions for set-valued optimization problems under Benson proper efficiency ⋮ Higher order weak epiderivatives and applications to duality and optimality conditions ⋮ Generalized radial epiderivatives and nonconvex set-valued optimization problems ⋮ Higher-order weak radial epiderivatives and non-convex set-valued optimization problems ⋮ Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems ⋮ Higher-order weakly generalized adjacent epiderivatives and applications to duality of set-valued optimization

Cites Work

• Optimality conditions for set-valued optimization problems
• Contingent epiderivatives and set-valued optimization
• Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C¹-Optimization
• Optimality criteria in set-valued optimization
• On the Existence of Pareto Efficient Points
• Invexity in multifunction optimization
• Optimality conditions for maximizations of set-valued functions
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