Hölder weak sharp minimizers and Hölder tilt-stability

DOI10.1016/j.na.2015.02.020zbMath1328.90148OpenAlexW2054109143MaRDI QIDQ2349020

Xi Yin Zheng, Ng Kung-fu

Publication date: 16 June 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2015.02.020

zbMATH Keywords

Hölder metric regularityHölder tilt-stable minimizerHölder weak sharp minimizerstable Hölder weak sharp minimizer

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Related Items

Higher-order error bound for the difference of two functions, Pseudo metric subregularity and its stability in asplund spaces, Stable global well-posedness and global strong metric regularity, A globally convergent proximal Newton-type method in nonsmooth convex optimization, Fully stable well-posedness and fully stable minimum with respect to an admissible function, Fully Hölderian Stable Minimum with Respect to Both Tilt and Parameter Perturbations, Hölder metric subregularity for multifunctions in type Banach spaces, 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
• Higher-order metric subregularity and its applications
• 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 bound and well-posedness with respect to an admissible function
• Full Lipschitzian and Hölderian Stability in Optimization with Applications to Mathematical Programming and Optimal Control
• Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
• 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
• Calmness for L-Subsmooth Multifunctions in Banach Spaces
• Semi-continuity of set-valued monotone mappings
• Variational Analysis
• Tilt Stability of a Local Minimum
• Metric regularity and subdifferential calculus
• 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