0493120 20240103220441.120180910235959.9 85068883011 000479257600006 10.1007/s11228-018-0492-5 33 s. P cav_un_epca*03439671877-0533273 (2019)713-745Springer Generalized differential calculus Directional limiting normal cone Directional limiting subdifferential Qualification conditions cav_un_auth*0336737 Benko M. CZ cav_un_auth*0319636 Gfrerer H. AT cav_un_auth*0101173 Outrata Jiří UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2018/MTR/outrata-0493120.pdf https://link.springer.com/article/10.1007%2Fs11228-018-0492-5 cav_un_auth*0347023 GA17-04301S GA ČR cav_un_auth*0348851 GA17-08182S GA ČR The paper is devoted to the development of a comprehensive calculus for directional limiting normal cones, subdifferentials and coderivatives in finite dimensions. This calculus encompasses the whole range of the standard generalized differential calculus for (non-directional) limiting notions and relies on very weak (non-restrictive) qualification conditions having also a directional character. The derived rules facilitate the application of tools exploiting the directional limiting notions to difficult problems of variational analysis including, for instance, various stability and sensitivity issues. This is illustrated by some selected applications in the last part of the paper. WOS BA 10000 10100 10101 2020 RVO:67985556 http://hdl.handle.net/11104/0286550 cav_un_auth*0319637 Institute of Computational Mathematics, Johannes Kepler University Linz JKU AT S 3+4 Article Chemistry Physical A MATHEMATICS.APPLIED 1.155 0.761 4.7 0.0019 0.751 427 50 0.964 27.87 1.56 160 Q1 1.393 46 Q2 58.956 67.6 Q2 Q4 0.81 Q2 67.625 2019 85068883011 SCOPUS PUBMED 000479257600006 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 27 č. 3 2019 713 745 Springer