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scientific article; zbMATH DE number 7733454

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7733454

Statements

scholarly article

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publication date

1 September 2023

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full work available at URL

https://arxiv.org/abs/2108.00179

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https://www.heldermann.de/JCA/JCA30/JCA304/jca30053.htm

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zbMATH Keywords

partial calmness

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bilevel program

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optimality condition

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second-order optimality condition

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MaRDI profile type

MaRDI publication profile

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On M-stationarity conditions in MPECs and the associated qualification conditions

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Solving bilevel programs with the KKT-approach

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Perturbations of extremal problems with constraints and necessary optimality conditions

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Directional Necessary Optimality Conditions for Bilevel Programs

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Practical bilevel optimization. Algorithms and applications

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On a conjecture in second-order optimality conditions

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Calculus for directional limiting normal cones and subdifferentials

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Representing quadratically constrained quadratic programs as generalized copositive programs

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Calmness and Exact Penalization

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Optimization and nonsmooth analysis

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Foundations of bilevel programming

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Is bilevel programming a special case of a mathematical program with complementarity constraints?

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Bilevel Programming Problems

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The bilevel programming problem: reformulations, constraint qualifications and optimality conditions

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Bilevel optimization. Advances and next challenges

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First order optimality conditions for mathematical programs with semidefinite cone complementarity constraints

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A NOTE ON THE SQUARED SLACK VARIABLES TECHNIQUE FOR NONLINEAR OPTIMIZATION

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A necessary and sufficient regularity condition to have bounded multipliers in nonconvex programming

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Differential properties of the marginal function in mathematical programming

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On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs

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New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis

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New sharp necessary optimality conditions for mathematical programs with equilibrium constraints

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Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems

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Sensitivity Analysis of the Value Function for Parametric Mathematical Programs with Equilibrium Constraints

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On calmness conditions in convex bilevel programming

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Generic Property of the Partial Calmness Condition for Bilevel Programming Problems

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Classification model selection via bilevel programming

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Optimality conditions and exact penalty for mathematical programs with switching constraints

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Stationarity conditions and constraint qualifications for mathematical programs with switching constraints. With applications to either-or-constrained programming

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On the linear independence constraint qualification in disjunctive programming

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R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimization

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On strong and weak second-order necessary optimality conditions for nonlinear programming

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Parametric Nonlinear Programming Problems under the Relaxed Constant Rank Condition

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The Theory of Moral Hazard and Unobservable Behaviour: Part I

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Variational Analysis and Applications

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Variational analysis of marginal functions with applications to bilevel programming

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On the numerical solution of a class of Stackelberg problems

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Relaxed constant positive linear dependence constraint qualification and its application to bilevel programs

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Necessary Optimality Conditions for Multiobjective Bilevel Programs

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Constraint Qualifications and Optimality Conditions in Bilevel Optimization

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First order optimality conditions for generalized semi-infinite programming problems

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Difference of convex algorithms for bilevel programs with applications in hyperparameter selection

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New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches

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Optimality conditions for bilevel programming problems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6178241

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