| project |
| ARLID |
cav_un_auth*0339745 |
| project_id |
P26132-N25 |
| agency |
Austrian Science Fund |
| country |
AT |
|
| project |
| ARLID |
cav_un_auth*0321507 |
| project_id |
GA15-00735S |
| agency |
GA ČR |
|
| project |
| ARLID |
cav_un_auth*0339747 |
| project_id |
DP160100854 |
| agency |
Australian Research Council |
| country |
AU |
|
| abstract
(eng) |
This paper is devoted to the development of new sufficient conditions for the calmness\nand the Aubin property of implicit multifunctions. As the basic tool we employ the directional\nlimiting coderivative which, together with the graphical derivative, enables a fine analysis of the\nlocal behavior of the investigated multifunction along relevant directions. For verification of the\ncalmness property, in addition, a new condition has been discovered which parallels the missing\nimplicit function paradigm and permits us to replace the original multifunction by a substantially\nsimpler one. Moreover, as an auxiliary tool, a handy formula for the computation of the directional\nlimiting coderivative of the normal-cone map with a polyhedral set has been derived which perfectly\nmatches the framework of [A. L. Dontchev and R. T. Rockafellar, SIAM J. Optim., 6 (1996),\npp. 1087-1105]. All important statements are illustrated by examples. |
| RIV |
BA |
| reportyear |
2017 |
| num_of_auth |
2 |
| mrcbC52 |
4 A hod 4ah 20231122142122.7 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0265783 |
| cooperation |
| ARLID |
cav_un_auth*0339748 |
| name |
Johannes Kepler University Linz |
| country |
AT |
|
| mrcbC64 |
1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED |
| confidential |
S |
| mrcbC86 |
1* Article Mathematics Applied |
| mrcbT16-e |
MATHEMATICSAPPLIED |
| mrcbT16-j |
2.759 |
| mrcbT16-s |
2.652 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
98.129 |
| mrcbT16-D |
Q1* |
| mrcbT16-E |
Q1* |
| arlyear |
2016 |
| mrcbTft |
\nSoubory v repozitáři: outrata-0467536.pdf |
| mrcbU14 |
85007227339 SCOPUS |
| mrcbU24 |
PUBMED |
| mrcbU34 |
000391853600008 WOS |
| mrcbU63 |
cav_un_epca*0255073 SIAM Journal on Optimization 1052-6234 1095-7189 Roč. 26 č. 4 2016 2160 2189 SIAM Society for Industrial and Applied Mathematics |