Computation formulas and multiplier rules for graphical derivatives in separable Banach spaces

DOI10.1016/j.na.2009.02.114zbMath1176.90541OpenAlexW2071363861MaRDI QIDQ1029465

Elvira Hernández, Akhtar A. Khan, Luis Rodríguez-Marín, Miguel Sama

Publication date: 10 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.02.114

zbMATH Keywords

Lagrange multipliersvector optimizationSchauder basesset-valued analysisordered spacescontingent epiderivativesweak minimizersproper minimizers

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Optimality conditions for problems in abstract spaces (49K27)

Related Items (4)

The role of directional compactness in the existence and computation of contingent epiderivatives ⋮ Scalar Lagrange multiplier rules for set-valued problems in infinite-dimensional spaces ⋮ Scalarization of constraints system in some vector optimization problems and applications ⋮ A new penalization tool in scalar and vector optimizations

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