0641829 20260224164059.820251120235959.9 001612050800003 10.14736/kyb-2025-5-0635 12 s. P cav_un_epca*02971630023-5954615 (2025)635-646Ústav teorie informace a automatizace AV ČR, v. v. i. strong metric subregularity Lipschitz continuity uniformity sum stability cav_un_auth*0497379 Roubal Tomáš UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Ústav teorie informace a automatizace AV ČR, v. v. i. https://library.utia.cas.cz/separaty/2025/MTR/roubal-0641829.pdf https://www.kybernetika.cz/content/2025/5/635 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. WOS BA 10000 10100 10102 2026 RVO:67985556 https://hdl.handle.net/11104/0371860 S A COMPUTERSCIENCE.CYBERNETICS 1.1 0.1 14.7 0.00058 0.288 978 43 0.378 34 2.47 255 Q3 2.000 43 Q3 42.2 0.27 Q3 42.2 2025 SCOPUS PUBMED 001612050800003 WOS cav_un_epca*0297163 Kybernetika Roč. 61 č. 5 2025 635 646 0023-5954 Ústav teorie informace a automatizace AV ČR, v. v. i.