On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications
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Publication:2810085
DOI10.1080/02331934.2015.1066372zbMath1338.49032arXiv1611.08236OpenAlexW2285572974MaRDI QIDQ2810085
Helmut Gfrerer, Jiří V. Outrata
Publication date: 31 May 2016
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.08236
2-regularitymetric regularitylimiting normal conemetric subregularityinequality systemslimiting coderivativesparameterized generalized equations
Optimality conditions and duality in mathematical programming (90C46) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53)
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Cites Work
- On metric pseudo-(sub)regularity of multifunctions and optimality conditions for degenerated mathematical programs
- On directional metric regularity, subregularity and optimality conditions for nonsmooth mathematical programs
- On \(M\)-stationary points for a stochastic equilibrium problem under equilibrium constraints in electricity spot market modeling.
- On the co-derivative of normal cone mappings to inequality systems
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Coderivatives in parametric optimization
- On Second-Order Subdifferentials and Their Applications
- Parametric Nonlinear Programming Problems under the Relaxed Constant Rank Condition
- On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- Optimality Conditions for Disjunctive Programs Based on Generalized Differentiation with Application to Mathematical Programs with Equilibrium Constraints
- First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Coderivative Analysis of Quasi‐variational Inequalities with Applications to Stability and Optimization
- Implicit Functions and Solution Mappings
- Extremum conditions for smooth problems with equality-type constraints
- Strongly Regular Generalized Equations
- Variational Analysis
- Variational Analysis and Generalized Differentiation I
- Characterizations of Strong Regularity for Variational Inequalities over Polyhedral Convex Sets
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Optimality Conditions for a Class of Mathematical Programs with Equilibrium Constraints
- On Directional Metric Subregularity and Second-Order Optimality Conditions for a Class of Nonsmooth Mathematical Programs
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