bibtype J - Journal Article
ARLID 0493120
utime 20240103220441.1
mtime 20180910235959.9
SCOPUS 85068883011
WOS 000479257600006
DOI 10.1007/s11228-018-0492-5
title (primary) (eng) Calculus for Directional Limiting Normal Cones and Subdifferentials
specification
page_count 33 s.
media_type P
serial
ARLID cav_un_epca*0343967
ISSN 1877-0533
title Set-Valued and Variational Analysis
volume_id 27
volume 3 (2019)
page_num 713-745
publisher
name Springer
keyword Generalized differential calculus
keyword Directional limiting normal cone
keyword Directional limiting subdifferential
keyword Qualification conditions
author (primary)
ARLID cav_un_auth*0336737
name1 Benko
name2 M.
country CZ
author
ARLID cav_un_auth*0319636
name1 Gfrerer
name2 H.
country AT
author
ARLID cav_un_auth*0101173
name1 Outrata
name2 Jiří
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2018/MTR/outrata-0493120.pdf
source
url https://link.springer.com/article/10.1007%2Fs11228-018-0492-5
cas_special
project
ARLID cav_un_auth*0347023
project_id GA17-04301S
agency GA ČR
project
ARLID cav_un_auth*0348851
project_id GA17-08182S
agency GA ČR
abstract (eng) 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.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10101
reportyear 2020
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0286550
cooperation
ARLID cav_un_auth*0319637
name Institute of Computational Mathematics, Johannes Kepler University Linz
institution JKU
country AT
confidential S
mrcbC86 1 Article Mathematics Applied
mrcbC91 A
mrcbT16-e MATHEMATICSAPPLIED
mrcbT16-j 0.751
mrcbT16-s 0.964
mrcbT16-B 58.956
mrcbT16-D Q2
mrcbT16-E Q2
arlyear 2019
mrcbU14 85068883011 SCOPUS
mrcbU24 PUBMED
mrcbU34 000479257600006 WOS
mrcbU63 cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 27 č. 3 2019 713 745 Springer