Počet záznamů: 1

On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives

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, ORCID}
Číslo 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	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