Second order optimality conditions for bilevel set optimization problems
type: Item
instance of: scholarly article
title: Second order optimality conditions for bilevel set optimization problems
zbMATH Open document ID: 1190.90179
author: Stephan Dempe
author: Nazih Abderrazzak Gadhi
published in: Journal of Global Optimization
publication date: 2010-06-11T00:00:00Z
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49J52
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 49K99
zbMATH DE Number: 5719887
zbMATH Keywords: approximate Jacobian
zbMATH Keywords: approximate Hessian
zbMATH Keywords: recession matrices
zbMATH Keywords: bilevel optimization
zbMATH Keywords: second order approximation
zbMATH Keywords: necessary optimality conditions
zbMATH Keywords: regularity condition
zbMATH Keywords: set valued mappings
zbMATH Keywords: support function
MaRDI profile type: Publication
full work available at URL: s10898-009-9468-1
OpenAlex ID: W2085657214
cites work: Second-order optimality conditions in multiobjective optimization problems
cites work: Second order approximations and dual necessary optimality conditions
cites work: On the regularity condition for vector programming problems
cites work: Second order optimality conditions for the extremal problem under inclusion constraints
cites work: Q4821428
cites work: Necessary optimality conditions for bilevel optimization problems using convexificators
cites work: Some properties of the bilevel programming problem
cites work: Second-order efficiency conditions and sensitivity of efficient points
cites work: A necessary and a sufficient optimality condition for bilevel programming problems
cites work: Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
cites work: First-order necessary optimality conditions for general bilevel programming problems
cites work: New necessary optimality conditions in optimistic bilevel programming
cites work: Second-order optimality conditions for the extremal problem under inclusion constraints
cites work: Optimality conditions for \(C^{1,1}\) vector optimization problems
cites work: Second-order optimality conditions for \(C^1\) multiobjective programming problems
cites work: A multivariate partition approach to optimization problems
cites work: Approximate Jacobian Matrices for Nonsmooth Continuous Maps and C1-Optimization
cites work: Second Order Optimality Conditions for Problems with Continuously Differentiable Data
cites work: Necessary optimality conditions for Stackelberg problems
cites work: On Optimization Problems with Variational Inequality Constraints
cites work: Variational Analysis
cites work: Optimality conditions for bilevel programming problems
cites work: Problems of Hierarchical Optimization in Finite Dimensions
DOI: 10.1007/S10898-009-9468-1
description: scientific article; zbMATH DE number 5719887