On the directional asymptotic approach in optimization theory
DOI10.1007/s10107-024-02089-wMaRDI QIDQ6665398
Publication date: 17 January 2025
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
constraint qualificationsM-stationarityasymptotic stationarity and regularitydirectional limiting variational calculuspseudo- and quasi-normalitypseudo- and super-coderivatives
Semidefinite programming (90C22) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Optimality conditions for problems in abstract spaces (49K27)
Cites Work
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- Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets
- Lipschitz and Hölder stability of optimization problems and generalized equations
- On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs
- Mathematical programs with semidefinite cone complementarity constraints: constraint qualifications and optimality conditions
- On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
- Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
- Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications
- On the coderivative of the projection operator onto the second-order cone
- Generalized differentials of nonsmooth functions, and necessary conditions for an extremum
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
- Foundations of bilevel programming
- Critical solutions of nonlinear equations: local attraction for Newton-type methods
- Implicit multifunction theorems for the sensitivity analysis of variational conditions
- On concepts of directional differentiability
- Pseudonormality and a Lagrange multiplier theory for constrained optimization
- Sequential optimality conditions for cardinality-constrained optimization problems with applications
- An augmented Lagrangian method for cardinality-constrained optimization problems
- Optimality conditions and exact penalty for mathematical programs with switching constraints
- Calmness and calculus: two basic patterns
- Sufficient conditions for metric subregularity of constraint systems with applications to disjunctive and ortho-disjunctive programs
- Newton-type methods near critical solutions of piecewise smooth nonlinear equations
- Calculus for directional limiting normal cones and subdifferentials
- Necessary conditions for an extremum in a mathematical programming problem
- On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
- Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
- Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results
- A New Sequential Optimality Condition for Constrained Optimization and Algorithmic Consequences
- Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
- Calmness and Exact Penalization
- A Cone-Continuity Constraint Qualification and Algorithmic Consequences
- Second-Order Necessary Conditions for Nonlinear Optimization Problems with Abstract Constraints: The Degenerate Case
- Necessary and sufficient conditions for optimality of p-th order
- Optimization and nonsmooth analysis
- Extremum conditions for smooth problems with equality-type constraints
- Regular Points of Lipschitz Functions
- Variational Analysis
- Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints
- Variational Analysis and Applications
- An Augmented Lagrangian Method for Optimization Problems in Banach Spaces
- New verifiable stationarity concepts for a class of mathematical programs with disjunctive constraints
- Complementarity Constraint Qualification via the Theory of 2-Regularity
- Constrained Minima and Lipschitzian Penalties in Metric Spaces
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Variational Analysis of Regular Mappings
- Directional Necessary Optimality Conditions for Bilevel Programs
- Optimality conditions, approximate stationarity, and applications – a story beyond lipschitzness
- A New Sequential Optimality Condition for Constrained Nonsmooth Optimization
- New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions
- Bilevel Programming Problems
- New Sequential Optimality Conditions for Mathematical Programs with Complementarity Constraints and Algorithmic Consequences
- Covering on a Convex Set in the Absence of Robinson's Regularity
- Strict Constraint Qualifications and Sequential Optimality Conditions for Constrained Optimization
- Directional Quasi-/Pseudo-Normality as Sufficient Conditions for Metric Subregularity
- Mathematical Programs with Geometric Constraints in Banach Spaces: Enhanced Optimality, Exact Penalty, and Sensitivity
- Semismooth Matrix-Valued Functions
- The Theory of 2-Regularity for Mappings with Lipschitzian Derivatives and its Applications to Optimality Conditions
- New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis
- Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences
- On Optimality Conditions for Nonlinear Conic Programming
- Second-Order Optimality Conditions for Nonconvex Set-Constrained Optimization Problems
- Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming
- On sequential optimality conditions for smooth constrained optimization
- Mathematical Programs with Equilibrium Constraints
- Set-valued analysis
- Second-Order Optimality Conditions for General Nonconvex Optimization Problems and Variational Analysis of Disjunctive Systems
- Asymptotic stationarity and regularity for nonsmooth optimization problems
- Behavior of Newton-type methods near critical solutions of nonlinear equations with semismooth derivatives
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