0461165 20240103212424.620160722235959.9 84958742372 000385191700013 10.1007/s10107-016-0986-6 25 s. P cav_un_epca*02572270025-56101601 (2016)353-377Springer Cardinality constraints Constraint qualifications Optimality conditions KKT conditions Strongly stationary points cav_un_auth*0220207 Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Červinka Michal UTIA-B Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0021120 Kanzow Ch. DE cav_un_auth*0332700 Schwartz A. DE http://library.utia.cas.cz/separaty/2016/MTR/cervinka-0461165.pdf cav_un_auth*0284931 GAP402/12/1309 GA ČR cav_un_auth*0321507 GA15-00735S GA ČR This paper considers optimization problems with cardinality constraints. Based on a recently introduced reformulation of this problem as a nonlinear program with continuous variables, we first define some problem-tailored constraint qualifications and then show how these constraint qualifications can be used to obtain suitable optimality conditions for cardinality constrained problems. Here, the (KKT-like) optimality conditions hold under much weaker assumptions than the corresponding result that is known for the somewhat related class of mathematical programs with complementarity constraints. BA 2017 3 4 A hod 4ah 20231122141800.5 RVO:67985556 http://hdl.handle.net/11104/0261535 cav_un_auth*0331650 Charles University in Prague CZ cav_un_auth*0331687 Institute of Mathematics, University of Würzburg DE cav_un_auth*0331688 Graduate School of Computational Engineering, TU Darmstadt DE 1 Department of Decision Making Theory UTIA-B 10102 MATHEMATICS, APPLIED S 1 Article Computer Science Software Engineering|Operations Research Management Science|Mathematics Applied MATHEMATICS.APPLIED|OPERATIONSRESEARCH&MANAGEMENTSCIENCE|COMPUTERSCIENCE.SOFTWAREENGINEERING 2.985 0.65 999.9 0.01892 2.436 8568 3.158 Q1 2.176 117 Q1 97.403 84.8 Q1* Q1* 94.706 2016 Soubory v repozitáři: cervinka-0461165.pdf 84958742372 SCOPUS 000385191700013 WOS cav_un_epca*0257227 Mathematical Programming 0025-5610 1436-4646 Roč. 160 č. 1 2016 353 377 Springer