The stationary point set map in general parametric optimization problems
From MaRDI portal
Publication:2116032
DOI10.1007/s11228-020-00557-xzbMath1484.49052OpenAlexW3092412501MaRDI QIDQ2116032
Jen-Chih Yao, Nguyen Dong Yen, Duong Thi Kim Huyen
Publication date: 15 March 2022
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-020-00557-x
coderivativesecond-order subdifferentialLipschitz-like propertyRobinson stability\(C^2\)-smooth optimization problemstationary point settotal perturbation
Sensitivity, stability, well-posedness (49K40) Quadratic programming (90C20) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Subgradients of marginal functions in parametric mathematical programming
- Relationships between Robinson metric regularity and Lipschitz-like behavior of implicit multifunctions
- Point-based sufficient conditions for metric regularity of implicit multifunctions
- Local stability of solutions to differentiable optimization problems in Banach spaces
- Coderivatives in parametric optimization
- Sensitivity analysis of a stationary point set map under total perturbations. I: Lipschitzian stability
- Sensitivity analysis of a stationary point set map under total perturbations. II: Robinson stability
- Generalized differentiation of a class of normal cone operators
- Variational analysis and full stability of optimal solutions to constrained and minimax problems
- Coderivatives and the Solution Map of a Linear Constraint System
- Characterizations of Full Stability in Constrained Optimization
- Partial Second-Order Subdifferentials in Variational Analysis and Optimization
- Second-Order Variational Analysis in Conic Programming with Applications to Optimality and Stability
- On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs
- Some examples and counterexamples for the stability analysis of nonlinear programming problems
- Strongly Regular Generalized Equations
- Generalized equations and their solutions, part II: Applications to nonlinear programming
- Differential properties of the marginal function in mathematical programming
- Stability Theory for Systems of Inequalities. Part I: Linear Systems
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- Differential Stability in Nonlinear Programming
- Numerical Optimization
- Complete Characterization of Openness, Metric Regularity, and Lipschitzian Properties of Multifunctions
- Variational Analysis
- Trust Region Methods
- Variational Analysis and Applications
- Solution Stability of Nonsmooth Continuous Systems with Applications to Cone-Constrained Optimization
- Stability of solutions for a class of nonlinear cone constrained optimization problems, part 1: Basic theory
- Variational conditions and the proto-differentiation of partial subgradient mappings
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Full Stability in Finite-Dimensional Optimization
- Full Stability of Locally Optimal Solutions in Second-Order Cone Programs
- Robinson Stability of Parametric Constraint Systems via Variational Analysis
- Set-valued analysis