0453552 20240103211544.420160106235959.9 000365768100007 84958536170 10.1007/s11228-015-0349-0 17 s. P cav_un_epca*03439671877-0533234 (2015)669-685Springer Quasiconvex function Sublevel set Normal operator cav_un_auth*0298685 Aussel D. FR K 50 cav_un_auth*0234872 Pištěk Miroslav Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory 50 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2015/MTR/pistek-0453552.pdf GA15-00735S GA ČR cav_un_auth*0321507 Inspired by similar definition in subdifferential theory, we define limiting sublevel set and limiting normal operator maps for quasiconvex functions. These maps satisfy important properties as semicontinuity and quasimonotonicity. Moreover, calculus rules together with necessary and sufficient optimality conditions for constrained optimization are established. 2016 BA RVO:67985556 http://hdl.handle.net/11104/0254604 cav_un_auth*0320887 University of Perpignan, Lab. PROMES FR S MATHEMATICS.APPLIED 1.224 0.256 3.8 0.00232 0.951 240 0.981 Q2 0.907 39 Q2 78.069 62 Q1 Q2 62.008 2015 84958536170 SCOPUS 000365768100007 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 23 č. 4 2015 669 685 Springer