| bibtype |
J -
Journal Article
|
| ARLID |
0411393 |
| utime |
20240103182324.2 |
| mtime |
20060210235959.9 |
| title
(primary) (eng) |
On optimality conditions for some nonsmooth optimization problems over Lp spaces |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0257061 |
| ISSN |
0022-3239 |
| title
|
Journal of Optimization Theory and Applications |
| volume_id |
126 |
| volume |
2 (2005) |
| page_num |
411-438 |
| publisher |
|
|
| title
(cze) |
Podmínky optimality pro některé nehladké programy v Lp prostorech |
| keyword |
normal integrand |
| keyword |
integral functional |
| keyword |
normal cone |
| author
(primary) |
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| author
|
| ARLID |
cav_un_auth*0213226 |
| name1 |
Römisch |
| name2 |
W. |
| country |
DE |
|
| COSATI |
12B |
| cas_special |
| project |
| project_id |
IAA1075005 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0012782 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
The paper deals with the minimization of an integral functional over an Lp space subject to various types of constraints. For such optimization problems, new necessary optimality conditions are derived, based on several concepts of nonsmooth analysis. In particular, we employ the generalized differential calculus of Mordukhovich and the fuzzy calculus of proximal subgradients. The results are specialized to nonsmooth two-stage and multistage stochastic programs. |
| abstract
(cze) |
Článek se týká minimalizace integrálního funkcionálu nad prostorem Lp za přítomnosti různých typů omezení. Pro tyto úlohy jsou odvozeny nové nutné podmínky optimality, založené na několika koncepcích nehladké analýzy. Jde mimo jiné o zobecněný diferenciální počet B.Morduchoviče a fuzzy kalkulus proximálnich subgradientů. Výsledky jsou aplikovány na dvojstupňové a vicestupňové úlohy stochastického programování. |
| RIV |
BB |
| reportyear |
2006 |
| department |
MTR |
| permalink |
http://hdl.handle.net/11104/0131475 |
| ID_orig |
UTIA-B 20050123 |
| arlyear |
2005 |
| mrcbU63 |
cav_un_epca*0257061 Journal of Optimization Theory and Applications 0022-3239 1573-2878 Roč. 126 č. 2 2005 411 438 Springer |
|