On Lipschitz-like continuity of a class of set-valued mappings
DOI10.1080/02331934.2019.1696339zbMath1460.90186arXiv1905.08173OpenAlexW2992033653MaRDI QIDQ5151518
Leonid Minchenko, Ewa M. Bednarczuk, Krzysztof E. Rutkowski
Publication date: 19 February 2021
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08173
parametric optimizationset-valued mappingsAubin propertypseudo-Lipschitz continuityrelaxed constant rank constraint qualificationLipschitz-like continuity\(R\)-regularity
Sensitivity, stability, parametric optimization (90C31) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Optimality conditions for problems in abstract spaces (49K27)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- New results on constraint qualifications for nonlinear extremum problems and extensions
- Nonlinear metric subregularity
- Implications of the constant rank constraint qualification
- Stability and regular points of inequality systems
- Error bounds and Hölder metric subregularity
- Foundations of bilevel programming
- Multivalued analysis and nonlinear programming problems with perturbations
- Notes on some constraint qualifications for mathematical programs with equilibrium constraints
- On calmness of the argmin mapping in parametric optimization problems
- Metric regularity and systems of generalized equations
- The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
- Calmness of constraint systems with applications
- Relation between the constant rank and the relaxed constant rank constraint qualifications
- Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
- Parametric Nonlinear Programming Problems under the Relaxed Constant Rank Condition
- On relaxed constant rank regularity condition in mathematical programming
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Directional derivative of the marginal function in nonlinear programming
- Optimization and nonsmooth analysis
- Variational Analysis
- Metric regularity and subdifferential calculus
- Optimality conditions for bilevel programming problems
- Variational Analysis of Regular Mappings
- Extensions of metric regularity†
- On Lipschitz-Like Property for Polyhedral Moving Sets
- Implicit Functions and Solution Mappings
This page was built for publication: On Lipschitz-like continuity of a class of set-valued mappings