Strong-weak nonlinear bilevel problems: existence of solutions in a sequential setting

DOI10.1007/s11228-016-0369-4zbMath1398.90147OpenAlexW2337155114MaRDI QIDQ526391

Abdelmalek Aboussoror, Samir Adly, Fatima Ezzahra Saissi

Publication date: 12 May 2017

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-016-0369-4

zbMATH Keywords

convex analysisbilevel optimizationconvergence of multifunctionsmarginal functionsvariational-convergence

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (7)

A survey on bilevel optimization under uncertainty ⋮ New necessary and sufficient optimality conditions for strong bilevel programming problems ⋮ On Bilevel Optimization with Inexact Follower ⋮ A Practical Scheme to Compute the Pessimistic Bilevel Optimization Problem ⋮ Regularization and Approximation Methods in Stackelberg Games and Bilevel Optimization ⋮ Methods for Pessimistic Bilevel Optimization ⋮ Bilevel Optimization: Theory, Algorithms, Applications and a Bibliography

Cites Work

• Min-max and min-min Stackelberg strategies with closed-loop information structure
• Weak nonlinear bilevel problems: existence of solutions via reverse convex and convex maximization problems
• Well-posed optimization problems
• Sequential Stackelberg equilibria in two-person games
• On generalized Stackelberg strategies
• A partial cooperation model for non-unique linear two-level decision problems
• Weak linear bilevel programming problems: existence of solutions via a penalty method
• Weak via strong Stackelberg problem: New results
• A new method for strong-weak linear bilevel programming problem
• Existence of solutions to weak nonlinear bilevel problemsviaMinSup and d.c. problems
• Existence theorems of equilibrium points in stackelberg
• Global Regularity Theorems
• semi-continuities of marginal functions in a sequential setting
• New results on approximate solution in two-level optimization
• Convex Analysis
• Existence of solutions to two-level optimization problems with nonunique lower-level solutions
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