Variational analysis of marginal functions with applications to bilevel programming

From MaRDI portal
Publication:415393

DOI10.1007/s10957-011-9940-1zbMath1268.90127OpenAlexW2058854120MaRDI QIDQ415393

Hung M. Phan, Boris S. Mordukhovich, Nguyen Mau Nam

Publication date: 8 May 2012

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://digitalcommons.wayne.edu/cgi/viewcontent.cgi?article=1090&context=math_reports




Related Items

Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programmingSome new optimality conditions for semivector bilevel optimization programOptimality conditions for pessimistic bilevel problems using convexificatorA new approach to solve convex infinite-dimensional bilevel problems: application to the pollution emission price problemSolving ill-posed bilevel programsEstimates of generalized hessians for optimal value functions in mathematical programmingGeneric Property of the Partial Calmness Condition for Bilevel Programming ProblemsThe natural gas cash-out problem: a bilevel optimal control approachNecessary optimality conditions for a semivectorial bilevel optimization problem using the kth-objective weighted-constraint approachEstimates for coderivative of solution map in bilevel programVariational Methods for Emerging Real–Life and Environmental Conservation ProblemsRelaxed constant positive linear dependence constraint qualification and its application to bilevel programsNew optimality conditions for the semivectorial bilevel optimization problemOptimality conditions in terms of convexificators for a bilevel multiobjective optimization problemUnnamed ItemA unified approach to convex and convexified generalized differentiation of nonsmooth functions and set-valued mappingsTwo-level value function approach to non-smooth optimistic and pessimistic bilevel programsA simple approach to optimality conditions in minmax programmingNecessary optimality conditions in pessimistic bilevel programmingOptimality conditions for nonsmooth generalized semi-infinite programsBilevel Optimal Control Problems with Pure State Constraints and Finite-dimensional Lower LevelA Cutting Plane Approach for Solving Linear Bilevel Programming ProblemsSubdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic ProgrammingBilevel Optimization and Variational AnalysisConstraint Qualifications and Optimality Conditions in Bilevel OptimizationBilevel Optimization: Theory, Algorithms, Applications and a BibliographyR-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimizationOptimality conditions for pessimistic semivectorial bilevel programming problems



Cites Work