Epidifferentiability and hypodifferentiability of pseudoconvex maps in set-optimization problems
type: Item
instance of: scholarly article
title: Epidifferentiability and hypodifferentiability of pseudoconvex maps in set-optimization problems
zbMATH Open document ID: 1163.49018
author: Luis Rodríguez-Marín
author: Miguel Sama
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-09T00:00:00Z
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 5563036
zbMATH Keywords: set-valued analysis
zbMATH Keywords: contingent epi/hypo-derivatives
zbMATH Keywords: set-valued optimization
zbMATH Keywords: constrained vector optimization
MaRDI profile type: Publication
full work available at URL: j.na.2008.10.079
OpenAlex ID: W2035710479
cites work: Set-relations and optimality conditions in set-valued maps
cites work: Set-valued analysis
cites work: Q4942417
cites work: On the Existence of Pareto Efficient Points
cites work: Optimality conditions for set-valued optimization problems
cites work: Vector optimization. Set-valued and variational analysis.
cites work: Q3884418
cites work: Variational methods in partially ordered spaces
cites work: Nonconvex scalarization in set optimization with set-valued maps
cites work: Existence theorems for set optimization problems
cites work: Lagrangian duality in set-valued optimization
cites work: Q5444108
cites work: Some variants of the Ekeland variational principle for a set-valued map
cites work: Inclusion problems in ordered topological vector spaces and applications
cites work: Q4312906
cites work: The existence of contingent epiderivatives for set-valued maps
cites work: Contingent epiderivatives and set-valued optimization
cites work: Q4461359
cites work: Q3992446
cites work: On set-valued optimization.
cites work: On cone convexity of set-valued maps
cites work: Optimization with set relations: conjugate duality
cites work: About contingent epiderivatives
cites work: Variational characterization of the contingent epiderivative
cites work: \((\Lambda ,C)\)-contingent derivatives of set-valued maps
cites work: Sous-Différentiabilité de fonctions convexes à valeurs dans un espace vectoriel ordonné.
DOI: 10.1016/J.NA.2008.10.079
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description: scientific article; zbMATH DE number 5563036