Weak linear bilevel programming problems: existence of solutions via a penalty method
type: Item
instance of: scholarly article
title: Weak linear bilevel programming problems: existence of solutions via a penalty method
zbMATH Open document ID: 1074.90025
author: Abdelmalek Aboussoror
author: Abdelatif Mansouri
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
Mathematics Subject Classification ID: 90C05
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 49M30
zbMATH DE Number: 2157575
zbMATH Keywords: Bilevel programming
zbMATH Keywords: Linear programming
zbMATH Keywords: Duality
zbMATH Keywords: Penalty methods
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.033
OpenAlex ID: W2028887826
cites work: Q4663895
cites work: Topological existence and stability for Stackelberg problems
cites work: Q4016645
cites work: Weak via strong Stackelberg problem: New results
cites work: Existence theorems of equilibrium points in stackelberg
cites work: Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
cites work: Bilevel and multilevel programming: A bibliography review
cites work: A solution method for the linear static Stackelberg problem using penalty functions
cites work: A penalty function approach for solving bi-level linear programs
cites work: A note on a penalty function approach for solving bilevel linear programs
cites work: Q5599348
DOI: 10.1016/J.JMAA.2004.09.033
Recommended article: An exact penalty method for weak linear bilevel programming problem
Recommended article: Q4663895
Recommended article: A New Variant of Penalty Method for Weak Linear Bilevel Programming Problems
Recommended article: A solution approach to the weak linear bilevel programming problems
Recommended article: Q4394604
Recommended article: Q5399143
Recommended article: A note on a penalty function approach for solving bilevel linear programs
Recommended article: Weak nonlinear bilevel problems: existence of solutions via reverse convex and convex maximization problems
Recommended article: An exact penalty on bilevel programs with linear vector optimization lower level
Recommended article: Q3103703
description: scientific article; zbMATH DE number 2157575