Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
From MaRDI portal
Publication:2954388
DOI10.1137/140959845zbMath1378.90079OpenAlexW2024619334MaRDI QIDQ2954388
Publication date: 13 January 2017
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/c49d38ae2811a930f362034bb69659ce72335dca
subdifferentialconjugate functionHölder metric regularityHölder tilt-stable minimizerHölder stable minimizer
Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)
Related Items (22)
Pseudo metric subregularity and its stability in asplund spaces ⋮ Complete Characterizations of Tilt Stability in Nonlinear Programming under Weakest Qualification Conditions ⋮ Stable global well-posedness and global strong metric regularity ⋮ An Induction Theorem and Nonlinear Regularity Models ⋮ Isolated calmness and sharp minima via Hölder graphical derivatives ⋮ Higher-order metric subregularity and its applications ⋮ Sufficient Conditions for Instability of the Subgradient Method with Constant Step Size ⋮ New set-valued directional derivatives: calculus and optimality conditions ⋮ Higher-Order Karush--Kuhn--Tucker Conditions in Nonsmooth Optimization ⋮ Fully stable well-posedness and fully stable minimum with respect to an admissible function ⋮ Local Minimizers of Semi-Algebraic Functions from the Viewpoint of Tangencies ⋮ Existence of pseudo-relative sharp minimizers in set-valued optimization ⋮ Unnamed Item ⋮ Fully Hölderian Stable Minimum with Respect to Both Tilt and Parameter Perturbations ⋮ Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization ⋮ Hölder strong metric subregularity and its applications to convergence analysis of inexact Newton methods ⋮ Characterizations of Tilt-Stable Minimizers in Second-Order Cone Programming ⋮ Local Monotonicity and Full Stability for Parametric Variational Systems ⋮ Hölder metric subregularity for multifunctions in type Banach spaces ⋮ Hölder weak sharp minimizers and Hölder tilt-stability ⋮ Openness, Hölder Metric Regularity, and Hölder Continuity Properties of Semialgebraic Set-Valued Maps ⋮ Stable Minimizers of $\varphi$-Regular Functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Second-order variational analysis and characterizations of tilt-stable optimal solutions in infinite-dimensional spaces
- Metric subregularity of order \(q\) and the solving of inclusions
- Error bounds for systems of lower semicontinuous functions in Asplund spaces
- Convex functions, monotone operators and differentiability
- Prox-regularity of functions and sets in Banach spaces
- Regularity and conditioning of solution mappings in variational analysis
- Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
- Hölder metric regularity of set-valued maps
- Second-order characterizations of tilt stability with applications to nonlinear programming
- Error Bounds for Lower Semicontinuous Functions in Normed Spaces
- Global Hölderian Error Bound for Nondegenerate Polynomials
- Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
- Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
- Weak Sharp Minima in Mathematical Programming
- Weak Sharp Minima for Semi-infinite Optimization Problems with Applications
- Error Bounds for Convex Polynomials
- Variational Analysis
- Tilt Stability of a Local Minimum
- Metric regularity and subdifferential calculus
- Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces
- Second-Order Subdifferential Calculus with Applications to Tilt Stability in Optimization
- Hölder Metric Subregularity with Applications to Proximal Point Method
- Second-order growth, tilt stability, and metric regularity of the subdifferential
- Partial Smoothness, Tilt Stability, and Generalized Hessians
- Tilt Stability, Uniform Quadratic Growth, and Strong Metric Regularity of the Subdifferential
- Gradients of Convex Functions
- Convex analysis and monotone operator theory in Hilbert spaces
This page was built for publication: Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
