Isolated calmness and sharp minima via Hölder graphical derivatives

DOI10.1007/s11228-022-00628-1OpenAlexW3169428114MaRDI QIDQ2677667

Marco A. López, Alexander Y. Kruger, Jiangxing Zhu, Xiao Qi Yang

Publication date: 5 January 2023

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08149

zbMATH Keywords

semi-infinite programmingHölder calmnessHölder graphical derivativesHölder sharp minimumHölder subregularity

Mathematics Subject Classification ID

Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Semi-infinite programming (90C34)

Cites Work

• Metric subregularity of order \(q\) and the solving of inclusions
• Lower Studniarski derivative of the perturbation map in parametrized vector optimization
• Stability of indices in the KKT conditions and metric regularity in convex semi-infinite optimization
• Calcul sous-différentiel et optimisation
• Nonsmooth equations in optimization. Regularity, calculus, methods and applications
• Lagrange-type functions in constrained non-convex optimization.
• Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization
• Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
• Second-order characterizations of tilt stability with applications to nonlinear programming
• Isolated calmness of solution mappings in convex semi-infinite optimization
• Metric regularity of semi-infinite constraint systems
• Generalized Metric Subregularity and Regularity with Respect to an Admissible Function
• Hölder-Like Property and Metric Regularity of a Positive-Order for Implicit Multifunctions
• Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
• Necessary and Sufficient Conditions for Isolated Local Minima of Nonsmooth Functions
• Variational Analysis
• Constrained Minima and Lipschitzian Penalties in Metric Spaces
• Weak Sharp Minima: Characterizations and Sufficient Conditions
• Variational Analysis of Regular Mappings
• Set-valued Optimization
• Metric subregularity of the convex subdifferential in Banach spaces
• Implicit Functions and Solution Mappings
• A Unified Augmented Lagrangian Approach to Duality and Exact Penalization
• Set-valued analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Isolated calmness and sharp minima via Hölder graphical derivatives