On Lipschitz continuity of projections onto polyhedral moving sets
From MaRDI portal
Publication:2232789
DOI10.1007/s00245-020-09706-yOpenAlexW3085284270MaRDI QIDQ2232789
Krzysztof E. Rutkowski, Ewa M. Bednarczuk
Publication date: 8 October 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.13715
Lipschitz-likenessgraphical subdifferential mappingLipschitzness of projectionrelaxed constant rank constraint qualification condition
Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Implications of the constant rank constraint qualification
- On relaxing the Mangasarian-Fromovitz constraint qualification
- Full stability of general parametric variational systems
- Perturbations, approximations and sensitivity analysis of optimal control systems
- Directional derivatives of the solution of a parametric nonlinear program
- Aubin property and uniqueness of solutions in cone constrained optimization
- Hölder behavior of optimal solutions and directional differentiability of marginal functions in nonlinear programming
- Characterizations of Full Stability in Constrained Optimization
- 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
- On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- Directional derivative of the marginal function in nonlinear programming
- Variational Analysis
- Variational Analysis and Applications
- Lipschitz Continuity of Solutions of Variational Inequalities with a Parametric Polyhedral Constraint
- On the Aubin property of solution maps to parameterized variational systems with implicit constraints
- On Lipschitz-like continuity of a class of set-valued mappings
- On Lipschitz-Like Property for Polyhedral Moving Sets
- Quantitative Stability of Variational Systems II. A Framework for Nonlinear Conditioning
- Closed-Form Expressions for Projectors onto Polyhedral Sets in Hilbert Spaces
- Implicit Functions and Solution Mappings
- Best approximation in inner product spaces
