Necessary optimality conditions for bilevel minimization problems

DOI10.1016/j.na.2011.03.049zbMath1254.90243OpenAlexW1992848369MaRDI QIDQ654107

Zaslavski, Alexander J.

Publication date: 21 December 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.049

zbMATH Keywords

necessary optimality conditionsimplicit function theoremgeneralized differentiationbilevel minimization problem

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)

Related Items (3)

Estimation of distribution algorithm for a class of nonlinear bilevel programming problems ⋮ Bilevel Optimization and Variational Analysis ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

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• Introduction to sensitivity and stability analysis in nonlinear programming
• Subdifferentials of value functions and optimality conditions for DC and bilevel infinite and semi-infinite programs
• Maximum principle in the problem of time optimal response with nonsmooth constraints
• Existence of Exact Penalty in Constrained Optimization and the Mordukhovich Basic Subdifferential
• On the numerical solution of a class of Stackelberg problems
• Bilevel programming with discrete lower level problems
• A necessary and a sufficient optimality condition for bilevel programming problems
• New necessary optimality conditions in optimistic bilevel programming
• Necessary optimality conditions of a D.C. set-valued bilevel optimization problem

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