0547132 20230418204323.320211025235959.9 85099045690 000605112400001 10.1007/s11228-020-00569-7 35 s. P cav_un_epca*03439671877-0533301 (2022)143-177Springer Metric subregularity Error bound property Pseudo-/quasi-normality MPCC MPVC Disjunctive programs Ortho-disjunctive programs cav_un_auth*0415894 Benko M. AT 34% cav_un_auth*0220207 Červinka Michal UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory 33% Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0415895 Hoheisel T. CA 33% http://library.utia.cas.cz/separaty/2021/MTR/cervinka-0547132.pdf https://link.springer.com/article/10.1007/s11228-020-00569-7 GA18-04145S GA ČR CZ cav_un_auth*0373104 This paper is devoted to the study of the metric subregularity constraint qualification for general optimization problems, with the emphasis on the nonconvex setting. We elaborate on notions of directional pseudo- and quasi-normality, recently introduced by Bai et al., which combine the standard approach via pseudo- and quasi-normality with modern tools of directional variational analysis. We focus on applications to disjunctive programs, where (directional) pseudo-normality is characterized via an extremal condition. This, in turn, yields efficient tools to verify pseudo-normality and the metric subregularity constraint qualification, which include, but are not limited to, Robinson’s result on polyhedral multifunctions and Gfrerer’s second-order sufficient condition for metric subregularity. Finally, we refine our study by defining the new class of ortho-disjunctive programs which comprises prominent optimization problems such as mathematical programs with complementarity, vanishing or switching constraints. WOS BA 10000 10100 10102 2023 3 RVO:67985556 http://hdl.handle.net/11104/0324444 cav_un_auth*0415897 Institute of Computational Mathematics, Johannes Kepler University Linz, A-4040 Linz, Austria AT cav_un_auth*0415898 Faculty of Mathematics, University of Vienna, 1090 Vienna, Austria AT cav_un_auth*0340904 Fakulta socialnich ved UK FSV UK cav_un_auth*0415899 Institute of Mathematics and Statistics, McGill University, 805 Sherbrooke St West, Room 1114 Montr´eal, Qu´ebec, H3A 0B9, Canada CA S Article Mathematics Applied C MATHEMATICS.APPLIED 1.5 0.3 4.9 0.00194 0.937 633 0.86 1.500 44 Q2 60.9 Q1 Q2 0.77 Q2 60.9 2022 85099045690 SCOPUS PUBMED 000605112400001 WOS cav_un_epca*0343967 Set-Valued and Variational Analysis 1877-0533 1877-0541 Roč. 30 č. 1 2022 143 177 Springer