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

SYSNO ASEP	0557191
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives
Author(s)	Gfrerer, H. (AT) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Article number	125895
Source Title	Journal of Mathematical Analysis and Applications. - : Elsevier - ISSN 0022-247X Roč. 508, č. 2 (2022)
Number of pages	37 s.
Publication form	Print - P
Language	eng - English
Country	US - United States
Keywords	Generalized derivatives ; Second-order theory ; Strong metric (sub)regularity ; Semismoothness⁎
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GF21-06569K GA ČR - Czech Science Foundation (CSF)
Method of publishing	Open access
Institutional support	UTIA-B - RVO:67985556
UT WOS	000795432700023
EID SCOPUS	85120931541
DOI	10.1016/j.jmaa.2021.125895
Annotation	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.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2023
Electronic address	https://www.sciencedirect.com/science/article/pii/S0022247X2100977X?via%3Dihub

Number of the records: 1