Optimality conditions for bilevel programming problems
From MaRDI portal
Publication:5898677
DOI10.1080/02331930600816189zbMath1156.90457OpenAlexW4236995599MaRDI QIDQ5898677
Joydeep Dutta, Sebastian Lohse, Stephan Dempe
Publication date: 8 March 2007
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331930600816189
Related Items
Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market ⋮ Finding optimal strategies in a multi-period multi-leader-follower Stackelberg game using an evolutionary algorithm ⋮ Approximated set-valued mapping approach for handling multiobjective bilevel problems ⋮ A projected subgradient algorithm for bilevel equilibrium problems and applications ⋮ The generalized Mangasarian-Fromowitz constraint qualification and optimality conditions for bilevel programs ⋮ On the Karush-Kuhn-Tucker reformulation of the bilevel optimization problem ⋮ Optimality Conditions for a Simple Convex Bilevel Programming Problem ⋮ Unnamed Item ⋮ Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography
Cites Work
- Necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints
- Maximum principle in the problem of time optimal response with nonsmooth constraints
- Complementarity constraint qualifications and simplified \(B\)-stationary conditions for mathematical programs with equilibrium constraints
- Generalized differential calculus for nonsmooth and set-valued mappings
- Coderivatives in parametric optimization
- Weak via strong Stackelberg problem: New results
- Necessary optimality conditions for bilevel optimization problems using convexificators
- Mathematical Programs with Complementarity Constraints: Stationarity, Optimality, and Sensitivity
- Ample Parameterization of Variational Inclusions
- Variational Analysis
- Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Constraint Qualifications and Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Nondifferentiable Multiplier Rules for Optimization and Bilevel Optimization Problems
- Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
- Optimality conditions for bilevel programming problems