0574144 20240402214231.520230808235959.9 85178353360 001115506800011 23 s. P cav_un_epca*02579050944-6532303 (2023)1001-1023Heldermann Verlag Strong metric subregularity and isolated calmness on a neighborhood generalized derivatives semismoothness* implicit multifunctions cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0101173 Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2023/MTR/outrata-0574144.pdf https://www.heldermann.de/JCA/JCA30/JCA303/jca30046.htm GF21-06569K GA ČR cav_un_auth*0412957 The paper deals with an extension of the available theory of SCD (subspace containing derivatives) mappings to mappings between spaces of different dimensions. This extension enables us to derive workable sufficient conditions for the isolated calmness of implicitly defined multifunctions around given reference points. This stability property differs substantially from isolated calmness at a point and, possibly in conjunction with the Aubin property, offers a new useful stability concept. The application area includes a broad class of parameterized generalized equations, where the respective conditions ensure a rather strong type of Lipschitzian behavior of their solution maps. WOS BA 10000 10100 10101 2024 RVO:67985556 https://hdl.handle.net/11104/0344486 S Article Mathematics C MATHEMATICS 0.6 0.2 13.1 0.00107 0.367 843 43 0.43 27.64 0.65 114 Q2 0.600 58 Q3 46.2 Q4 Q3 0.56 Q3 46.2 2023 85178353360 SCOPUS PUBMED 001115506800011 WOS cav_un_epca*0257905 Journal of Convex Analysis Roč. 30 č. 3 2023 1001 1023 0944-6532 0944-6532 Heldermann Verlag