Optimality conditions for pessimistic bilevel problems using convexificator

DOI10.1007/s11117-020-00737-xzbMath1467.90036OpenAlexW3005606011MaRDI QIDQ830345

Nazih Abderrazzak Gadhi, Lahoussine Lafhim, Stephan Dempe

Publication date: 7 May 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-020-00737-x

zbMATH Keywords

sensitivity analysisoptimality conditionsgeneralized differentiationoptimization and variational analysispessimistic bilevel programstwo-level value functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31)

Related Items (1)

Correction to: ``Optimality conditions for pessimistic bilevel problems using convexificator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimality conditions for pessimistic semivectorial bilevel programming problems
• Optimality conditions for optimistic bilevel programming problem using convexifactors
• Variational analysis of marginal functions with applications to bilevel programming
• The generalized Mangasarian-Fromowitz constraint qualification and optimality conditions for bilevel programs
• Optimality and duality results for bilevel programming problem using convexifactors
• Convexifactors, generalized convexity, and optimality conditions
• Necessary optimality conditions for bilevel set optimization problems
• A generalized derivative for calm and stable functions
• Nonsmooth calculus, minimality, and monotonicity of convexificators
• Hunting for a smaller convex subdifferential
• Foundations of bilevel programming
• New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches
• On Subdifferentials of Optimal Value Functions
• Optimization and nonsmooth analysis
• Small convex-valued subdifferentials in mathematical programming
• The Linear Nonconvex Generalized Gradient and Lagrange Multipliers
• Nonsmooth sequential analysis in Asplund spaces
• Necessary optimality conditions in pessimistic bilevel programming
• Optimality Conditions for Semivectorial Bilevel Convex Optimal Control Problems

This page was built for publication: Optimality conditions for pessimistic bilevel problems using convexificator