| bibtype |
J -
Journal Article
|
| ARLID |
0557191 |
| utime |
20231122150535.3 |
| mtime |
20220509235959.9 |
| SCOPUS |
85120931541 |
| WOS |
000795432700023 |
| DOI |
10.1016/j.jmaa.2021.125895 |
| title
(primary) (eng) |
On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives |
| specification |
| page_count |
37 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257017 |
| ISSN |
0022-247X |
| title
|
Journal of Mathematical Analysis and Applications |
| volume_id |
508 |
| publisher |
|
|
| keyword |
Generalized derivatives |
| keyword |
Second-order theory |
| keyword |
Strong metric (sub)regularity |
| keyword |
Semismoothness⁎ |
| author
(primary) |
| 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 |
|
| source |
|
| cas_special |
| project |
| project_id |
GF21-06569K |
| agency |
GA ČR |
| ARLID |
cav_un_auth*0412957 |
|
| abstract
(eng) |
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. |
| result_subspec |
WOS |
| RIV |
BA |
| FORD0 |
10000 |
| FORD1 |
10100 |
| FORD2 |
10101 |
| reportyear |
2023 |
| mrcbC52 |
4 A sml 4as 20231122150535.3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0331258 |
| confidential |
S |
| contract |
| name |
Elsevier Publishing Agreement |
| date |
20211207 |
|
| article_num |
125895 |
| mrcbC86 |
n.a. Article Mathematics Applied|Mathematics |
| mrcbC91 |
A |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.671 |
| mrcbT16-s |
0.833 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q2 |
| arlyear |
2022 |
| mrcbTft |
\nSoubory v repozitáři: outrata-0557191-YJMAA125895.html |
| mrcbU14 |
85120931541 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000795432700023 WOS |
| mrcbU63 |
cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 508 č. 2 2022 Elsevier |
|