Optimality results for a specific bilevel optimization problem

DOI10.1080/02331931003596725zbMath1258.90062OpenAlexW2001352154MaRDI QIDQ3112488

Stephan Dempe, Nazih Abderrazzak Gadhi

Publication date: 10 January 2012

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331931003596725

zbMATH Keywords

optimality conditionsextremal principlebilevel optimizationFréchet normal cone

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Fuzzy and other nonstochastic uncertainty mathematical programming (90C70) Optimality conditions (49K99)

Related Items (1)

Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Some properties of the bilevel programming problem
• Necessary optimality conditions for bilevel set optimization problems
• Necessary optimality conditions for Stackelberg problems
• Variational methods in partially ordered spaces
• Necessary optimality conditions for bilevel optimization problems using convexificators
• Problems of Hierarchical Optimization in Finite Dimensions
• A necessary and a sufficient optimality condition for bilevel programming problems
• A note on optimality conditions for bilevel programming problems^∗
• Optimality conditions for bilevel programming problems
• Nonsmooth sequential analysis in Asplund spaces
• First-order necessary optimality conditions for general bilevel programming problems

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