Hölder error bounds and Hölder calmness with applications to convex semi-infinite optimization
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Publication:2281271
DOI10.1007/s11228-019-0504-0zbMath1430.49014arXiv1806.06442OpenAlexW3098118914MaRDI QIDQ2281271
Marco A. López, Alexander Y. Kruger, Jiangxing Zhu, Xiao Qi Yang
Publication date: 19 December 2019
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.06442
Convex programming (90C25) Sensitivity, stability, parametric optimization (90C31) Set-valued and variational analysis (49J53) Semi-infinite programming (90C34)
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Cites Work
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- Directional Hölder metric regularity
- Nonlinear metric subregularity
- Metric subregularity of order \(q\) and the solving of inclusions
- Convex functions, monotone operators and differentiability.
- Nonsmooth analysis
- Higher-order metric subregularity and its applications
- Error bounds and Hölder metric subregularity
- Error bounds for systems of lower semicontinuous functions in Asplund spaces
- Error bounds: necessary and sufficient conditions
- Stability of indices in the KKT conditions and metric regularity in convex semi-infinite optimization
- New uniform parametric error bounds
- Fuzzy principles and characterization of trustworthiness
- On Fréchet subdifferentials
- On error bounds for lower semicontinuous functions.
- On the variational principle
- Regularity and conditioning of solution mappings in variational analysis
- Equivalent conditions for local error bounds
- Calmness of the argmin mapping in linear semi-infinite optimization
- Inclusions in general spaces: Hoelder stability, solution schemes and Ekeland's principle
- Techniques of variational analysis
- Error bounds for eigenvalue and semidefinite matrix inequality systems
- Generalized Metric Subregularity and Regularity with Respect to an Admissible Function
- Error bound and well-posedness with respect to an admissible function
- Hölder metric subregularity for multifunctions in type Banach spaces
- Calculus Without Derivatives
- Hölder Stable Minimizers, Tilt Stability, and Hölder metric Regularity of Subdifferentials
- Stability of Error Bounds for Convex Constraint Systems in Banach Spaces
- Optimization and nonsmooth analysis
- Regular Points of Lipschitz Functions
- Variational Analysis
- A survey on error bounds for lower semicontinuous functions
- Metric regularity and subdifferential calculus
- First-Order and Second-Order Conditions for Error Bounds
- Hölder Metric Subregularity with Applications to Proximal Point Method
- Hoffman's Error Bound, Local Controllability, and Sensitivity Analysis
- Variational Analysis of Regular Mappings
- Calmness Modulus of Linear Semi-infinite Programs
- Error bounds and metric subregularity
- About error bounds in metric spaces
- Implicit Functions and Solution Mappings
- Characterizations of error bounds for lower semicontinuous functions on metric spaces
- Convex Analysis