Prederivatives of convex set-valued maps and applications to set optimization problems
type: Item
instance of: scholarly article
title: Prederivatives of convex set-valued maps and applications to set optimization problems
zbMATH Open document ID: 1331.49022
author: M. Gaydu
author: M. H. Geoffroy
author: Yvesner Marcelin
published in: Journal of Global Optimization
publication date: 2016-01-28T00:00:00Z
Mathematics Subject Classification ID: 49J53
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 6536667
zbMATH Keywords: convex set-valued maps
zbMATH Keywords: prederivatives
zbMATH Keywords: generalized differentiability
zbMATH Keywords: vector optimization
zbMATH Keywords: set-valued optimization
MaRDI profile type: Publication
full work available at URL: s10898-015-0338-8
OpenAlex ID: W2257659322
cites work: Q3969460
cites work: Lipschitz Behavior of Solutions to Convex Minimization Problems
cites work: Set-valued analysis
cites work: Optimality conditions for maximizations of set-valued functions
cites work: Continuity and differentiability of set-valued maps revisited in the light of tame geometry
cites work: Implicit Functions and Solution Mappings
cites work: An inverse mapping theorem for \(H\)-differentiable set-valued maps
cites work: A Newton iteration for differentiable set-valued maps
cites work: Nonsmooth Analysis: Differential Calculus of Nondifferentiable Mappings
cites work: Vector Optimization
cites work: Contingent epiderivatives and set-valued optimization
cites work: Contingent derivatives of set-valued maps and applications to vector optimization
cites work: Partially ordered linear topological spaces
cites work: Inverse and implicit function theorems for nonsmooth maps in Banach spaces
cites work: Generalized differentiation with positively homogeneous maps: applications in set-valued analysis and metric regularity
cites work: Implicit multifunction theorems with positively homogeneous maps
cites work: Q5555984
cites work: An Embedding Theorem for Spaces of Convex Sets
cites work: Convex Analysis
cites work: On a theorem of Deutsch and Singer
DOI: 10.1007/S10898-015-0338-8
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description: scientific article; zbMATH DE number 6536667