Optimality Conditions for Problems with Set–Valued Objectives

DOI10.1515/JAA.1996.183zbMath0874.49017OpenAlexW2022074425MaRDI QIDQ3123406

B. El Abdouni, Lionel Thibault

Publication date: 2 November 1997

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/47728

zbMATH Keywords

set-valued mappingsmultifunctionsoptimality conditionssubdifferentialsmetric regularitycoderivatives

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Geometry and structure of normed linear spaces (46B20) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20)

Related Items (10)

Higher-order set-valued Hadamard directional derivatives: calculus rules and sensitivity analysis of equilibrium problems and generalized equations ⋮ GENERALIZED CONTINGENT EPIDERIVATIVES IN SET-VALUED OPTIMIZATION: OPTIMALITY CONDITIONS ⋮ Qualification conditions for calculus rules of coderivatives of multivalued mappings ⋮ First and second-order optimality conditions without differentiability in multivalued vector optimization ⋮ Scalar Lagrange multiplier rules for set-valued problems in infinite-dimensional spaces ⋮ Optimality conditions for various efficient solutions involving coderivatives: from set-valued optimization problems to set-valued equilibrium problems ⋮ Scalar multiplier rules in set-valued optimization ⋮ On Lagrange Multiplier Rules for Set-Valued Optimization Problems in the Sense of Set Criterion ⋮ Optimality conditions for vector optimization problems with variable ordering structures ⋮ Lagrange multipliers for set-valued optimization problems associated with coderivatives

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