Characterizations of stability of error bounds for convex inequality constraint systems
From MaRDI portal
Publication:2165598
DOI10.5802/ojmo.13zbMath1497.90206arXiv2110.11818OpenAlexW4302017722MaRDI QIDQ2165598
Michel Théra, Jen-Chih Yao, Zhou Wei
Publication date: 20 August 2022
Published in: OJMO. Open Journal of Mathematical Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.11818
stabilitydirectional derivativelocal and global error boundsconvex inequalitysemi-infinite convex constraint systems
Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Semi-infinite programming (90C34)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Error bounds for vector-valued functions: necessary and sufficient conditions
- Metric subregularity for proximal generalized equations in Hilbert spaces
- Hilbertian convex feasibility problem: Convergence of projection methods
- On the convergence of the exponential multiplier method for convex programming
- Convex functions, monotone operators and differentiability.
- On the convergence properties of Hildreth's quadratic programming algorithm
- Error bounds and Hölder metric subregularity
- Nonlinear error bounds for lower semicontinuous functions on metric spaces
- Error bounds for systems of lower semicontinuous functions in Asplund spaces
- Error bounds: necessary and sufficient conditions
- On a global error bound for a class of monotone affine variational inequality problems
- Perturbation analysis of a condition number for convex inequality systems and global error bounds for analytic systems
- Augmented Lagrangian algorithms for linear programming
- Error bounds in mathematical programming
- Asymptotic constraint qualifications and global error bounds for convex inequalities.
- On error bounds for lower semicontinuous functions.
- Implicit error bounds for Picard iterations on Hilbert spaces
- Bounds for error in the solution set of a perturbed linear program
- Strongly regular points of mappings
- Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization
- Perturbation of error bounds
- Weak sharp minima revisited. II: Application to linear regularity and error bounds
- Error Bounds for Lower Semicontinuous Functions in Normed Spaces
- On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
- Calculus Without Derivatives
- Perturbation Analysis of Error Bounds for Quasi-subsmooth Inequalities and Semi-infinite Constraint Systems
- METRIC REGULARITY—A SURVEY PART 1. THEORY
- METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
- Stability of Error Bounds for Semi-infinite Convex Constraint Systems
- Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
- Stability of Error Bounds for Convex Constraint Systems in Banach Spaces
- First Order and Second Order Characterizations of Metric Subregularity and Calmness of Constraint Set Mappings
- A Condition Number for Differentiable Convex Inequalities
- Global Regularity Theorems
- Regular Points of Lipschitz Functions
- An Application of Error Bounds for Convex Programming in a Linear Space
- A Characterization of Stability in Linear Programming
- Perturbation Analysis of a Condition Number for Linear Systems
- A survey on error bounds for lower semicontinuous functions
- On First- and Second-Order Conditions for Error Bounds
- Convergence rate analysis and error bounds for projection algorithms in convex feasibility problems
- On Projection Algorithms for Solving Convex Feasibility Problems
- The radius of metric regularity
- Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
- Variational Analysis of Regular Mappings
- Calmness Modulus of Linear Semi-infinite Programs
- Error bounds and metric subregularity
- Error bounds revisited
- Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces
- Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems
- Characterizations of error bounds for lower semicontinuous functions on metric spaces
- Convex Analysis
