Necessary optimality conditions for a semivectorial bilevel problem under a partial calmness condition
From MaRDI portal
Publication:5162592
DOI10.1080/02331934.2020.1763991zbMath1484.90099OpenAlexW3026130380MaRDI QIDQ5162592
Stephan Dempe, Nazih Abderrazzak Gadhi, Khadija Hamdaoui, M. El Idrissi
Publication date: 3 November 2021
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1763991
optimality conditionpartial calmnesslimiting subdifferentiallimiting normal conesemivectorial bilevel program
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Optimality conditions (49K99)
Related Items
Necessary optimality conditions for nonsmooth multi-objective bilevel optimization problem under the optimistic perspective, On multiobjective bilevel optimization using tangential subdifferentials
Cites Work
- Unnamed Item
- A new scalarization technique to approximate Pareto fronts of problems with disconnected feasible sets
- The generalized Mangasarian-Fromowitz constraint qualification and optimality conditions for bilevel programs
- Subgradients of marginal functions in parametric mathematical programming
- New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem
- Variational Analysis
- Optimality conditions for bilevel programming problems
- Nonsmooth sequential analysis in Asplund spaces
- Variational Stability and Marginal Functions via Generalized Differentiation