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On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives
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SYSNO ASEP 0557191 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives Tvůrce(i) Gfrerer, H. (AT)
Outrata, Jiří (UTIA-B) RID, ORCIDČíslo článku 125895 Zdroj.dok. Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X
Roč. 508, č. 2 (2022)Poč.str. 37 s. Forma vydání Tištěná - P Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova Generalized derivatives ; Second-order theory ; Strong metric (sub)regularity ; Semismoothness⁎ Vědní obor RIV BA - Obecná matematika Obor OECD Pure mathematics CEP GF21-06569K GA ČR - Grantová agentura ČR Způsob publikování Open access Institucionální podpora UTIA-B - RVO:67985556 UT WOS 000795432700023 EID SCOPUS 85120931541 DOI https://doi.org/10.1016/j.jmaa.2021.125895 Anotace The paper deals with a comprehensive theory of mappings, whose local behavior can be described by means of linear subspaces, contained in the graphs of two (primal and dual) generalized derivatives. This class of mappings includes the graphically Lipschitzian mappings and thus a number of multifunctions, frequently arising in optimization and equilibrium problems. The developed theory makes use of new generalized derivatives, provides us with some calculus rules and reveals a number of interesting connections. In particular, it enables us to construct a modification of the semismooth* Newton method with improved convergence properties and to derive a generalization of Clarke's Inverse Function Theorem to multifunctions together with new efficient characterizations of strong metric (sub)regularity and tilt stability. Pracoviště Ústav teorie informace a automatizace Kontakt Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Rok sběru 2023 Elektronická adresa https://www.sciencedirect.com/science/article/pii/S0022247X2100977X?via%3Dihub
Počet záznamů: 1