Vector Optimization Results for -Stable Data
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2013)
- Volume: 52, Issue: 2, page 43-52
- ISSN: 0231-9721
Access Full Article
top
Abstract
topHow to cite
topDvorská, Marie. "Vector Optimization Results for $\ell $-Stable Data." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 52.2 (2013): 43-52. <http://eudml.org/doc/260797>.
@article{Dvorská2013,
abstract = {The aim of this paper is to summarize basic facts about $\ell $-stable at a point vector functions and existing results for certain vector constrained programming problem with $\ell $-stable data.},
author = {Dvorská, Marie},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {$\ell $-stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer; -stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer},
language = {eng},
number = {2},
pages = {43-52},
publisher = {Palacký University Olomouc},
title = {Vector Optimization Results for $\ell $-Stable Data},
url = {http://eudml.org/doc/260797},
volume = {52},
year = {2013},
}
TY - JOUR
AU - Dvorská, Marie
TI - Vector Optimization Results for $\ell $-Stable Data
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2013
PB - Palacký University Olomouc
VL - 52
IS - 2
SP - 43
EP - 52
AB - The aim of this paper is to summarize basic facts about $\ell $-stable at a point vector functions and existing results for certain vector constrained programming problem with $\ell $-stable data.
LA - eng
KW - $\ell $-stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer; -stable function; generalized second-order directional derivative; Dini derivative; weakly efficient minimizer; isolated minimizer
UR - http://eudml.org/doc/260797
ER -
References
top- Bednařík, D., Pastor, K., 10.1007/s10107-007-0094-8, Math. Program. (Ser. A) 113, 2 (2008), 283–298. (2008) Zbl1211.90276MR2375484DOI10.1007/s10107-007-0094-8
- Bednařík, D., Pastor, K., 10.1051/ro/2009023, RAIRO-Operations Research 43 (2009), 359–372. (2009) Zbl1193.49016MR2573992DOI10.1051/ro/2009023
- Bednařík, D., Pastor, K., 10.1016/j.na.2010.10.009, Nonlinear Analysis 74 (2011), 1372–1382. (2011) MR2746815DOI10.1016/j.na.2010.10.009
- Bednařík, D., Pastor, K., 10.2478/s12175-012-0060-7, Mathematica Slovaca 62 (2012), 995–1005. (2012) MR2981835DOI10.2478/s12175-012-0060-7
- Dvorská, M., Pastor, K., On comparison of -stable vector optimization results, Mathematica Slovaca, in print.
- Ginchev I., 10.1016/j.na.2010.08.032, Nonlinear Analysis 74 (2011), 182–194. (2011) Zbl1205.26007MR2734988DOI10.1016/j.na.2010.08.032
- Ginchev, I., Guerraggio, A., 10.1080/02331930903578718, Optimization 60 (2011), 179–199. (2011) Zbl1237.90221MR2772143DOI10.1080/02331930903578718
- Ginchev, I., Guerraggio, A., Rocca, M., 10.1007/s10492-006-0002-1, Applications of Mathematics 51 (2006), 5–36. (2006) Zbl1164.90399MR2197320DOI10.1007/s10492-006-0002-1
- Jahn J., Vector optimization, Springer-Verlag, Berlin, 2004. (2004) Zbl1055.90065MR2058695
- Khanh, P. Q., Tuan, N. D., 10.1007/s10957-007-9169-1, J. Optim. Theory Appl. 133 (2007), 341–357. (2007) Zbl1149.90134MR2333819DOI10.1007/s10957-007-9169-1
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.