On Lipschitz semicontinuity properties of variational systems with application to parametric optimization
From MaRDI portal
Publication:467403
DOI10.1007/s10957-013-0455-9zbMath1317.90289arXiv1305.3459OpenAlexW2017277754MaRDI QIDQ467403
Publication date: 3 November 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.3459
stability analysiscalmnessLipschitz lower semi-continuityparametric constrained optimizationparametric generalized equation
Related Items
On a Quantitative Semicontinuity Property of Variational Systems with Applications to Perturbed Quasidifferentiable Optimization ⋮ On the quantitative solution stability of parameterized set-valued inclusions ⋮ Error bounds and metric subregularity ⋮ Lipschitz lower semicontinuity moduli for linear inequality systems
Cites Work
- Implicit multifunction theorems in complete metric spaces
- Enhanced metric regularity and Lipschitzian properties of variational systems
- Openness stability and implicit multifunction theorems: applications to variational systems
- Calmness of efficient solution maps in parametric vector optimization
- Introduction to sensitivity and stability analysis in nonlinear programming
- Nonsmooth analysis
- On metric and calmness qualification conditions in subdifferential calculus
- Failure of metric regularity for major classes of variational systems
- Error bounds: necessary and sufficient conditions
- On some regularity properties in variational analysis
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Stability of the solution set of perturbed nonsmooth inequality systems and application
- Variational conditions with smooth constraints: structure and analysis
- Variational pairs and applications to stability in nonsmooth analysis.
- Supercalm multifunctions for convergence analysis
- Normal coderivative for multifunctions and implicit function theorems
- Techniques of variational analysis
- Coderivative calculus and metric regularity for constraint and variational systems
- Variational analysis of extended generalized equations via coderivative calculus in Asplund spaces
- Calmness of constraint systems with applications
- Metric regularity and Lipschitzian stability of parametric variational systems
- Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
- Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
- Lipschitz Behavior of Solutions to Convex Minimization Problems
- Calmness and Exact Penalization
- Metric Subregularity and Constraint Qualifications for Convex Generalized Equations in Banach Spaces
- Some continuity properties of polyhedral multifunctions
- Generic Frechet-Differentiability and Perturbed Optimization Problems in Banach Spaces
- Generalized equations and their solutions, Part I: Basic theory
- A New Approach to Lagrange Multipliers
- Sensitivity Analysis of Solutions to Generalized Equations
- Variational Analysis
- Metric regularity and subdifferential calculus
- Optimality conditions for bilevel programming problems
- Variational conditions and the proto-differentiation of partial subgradient mappings
- Weak Sharp Minima: Characterizations and Sufficient Conditions
- Unnamed Item
- Unnamed Item
- Unnamed Item