A note on the uniformity of strong subregularity around the reference point

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F25%3A00641829" target="_blank" >RIV/67985556:_____/25:00641829 - isvavai.cz</a>
Result on the web
<a href="https://www.kybernetika.cz/content/2025/5/635" target="_blank" >https://www.kybernetika.cz/content/2025/5/635</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14736/kyb-2025-5-0635" target="_blank" >10.14736/kyb-2025-5-0635</a>

Result language
angličtina
Original language name
A note on the uniformity of strong subregularity around the reference point
Original language description
This paper investigates strong metric subregularity around the reference point as introduced by H. Gfrerer and J. V. Outrata in [9]. In the setting of Banach spaces, we analyse its stability under Lipschitz continuous perturbations and establish its uniformity over compact sets. Our results ensure that the property is preserved under small Lipschitz perturbations, which is crucial for maintaining robustness in variational analysis. Furthermore, we apply the developed theory to parametric inclusion problems. The analysis demonstrates that the uniformity of strong metric subregularity provides a theoretical foundation for addressing stability issues in parametrized optimization and control applications.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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