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Calculus for Directional Limiting Normal Cones and Subdifferentials

SYSNO ASEP	0493120
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Calculus for Directional Limiting Normal Cones and Subdifferentials
Author(s)	Benko, M. (CZ) Gfrerer, H. (AT) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Source Title	Set-Valued and Variational Analysis. - : Springer - ISSN 1877-0533 Roč. 27, č. 3 (2019), s. 713-745
Number of pages	33 s.
Publication form	Print - P
Language	eng - English
Country	NL - Netherlands
Keywords	Generalized differential calculus ; Directional limiting normal cone ; Directional limiting subdifferential ; Qualification conditions
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA17-04301S GA ČR - Czech Science Foundation (CSF)
	GA17-08182S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Open access
Institutional support	UTIA-B - RVO:67985556
UT WOS	000479257600006
EID SCOPUS	85068883011
DOI	10.1007/s11228-018-0492-5
Annotation	The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2020
Electronic address	https://link.springer.com/article/10.1007%2Fs11228-018-0492-5

Number of the records: 1