caa a22 4500 46318369X CHVBK 20180406164846.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10492-007-0029-y doi (NATIONALLICENCE)springer-10.1007/s10492-007-0029-y First-and second-order optimality conditions for mathematical programs with vanishing constraints [Elektronische Daten] [Tim Hoheisel, Christian Kanzow] We consider a special class of optimization problems that we call Mathematical Programs with Vanishing Constraints, MPVC for short, which serves as a unified framework for several applications in structural and topology optimization. Since an MPVC most often violates stronger standard constraint qualification, first-order necessary optimality conditions, weaker than the standard KKT-conditions, were recently investigated in depth. This paper enlarges the set of optimality criteria by stating first-order sufficient and second-order necessary and sufficient optimality conditions for MPVCs. Mathematical Institute, Academy of Sciences of Czech Republic, 2007 mathematical programs with vanishing constraints nationallicence mathematical programs with equilibrium constraints nationallicence first-order optimality conditions nationallicence second-order optimality conditions nationallicence Hoheisel Tim Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut Kanzow Christian Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut Applications of Mathematics Springer-Verlag 52/6(2007-12-01), 495-514 0862-7940 52:6<495 2007 52 10492 https://doi.org/10.1007/s10492-007-0029-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10492-007-0029-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hoheisel Tim Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut NATIONALLICENCE 700 1- Kanzow Christian Institute of Mathematics, University of Würzburg, Am Hubland, 97074, Würzburg, Germany aut NATIONALLICENCE 773 0- Applications of Mathematics Springer-Verlag 52/6(2007-12-01), 495-514 0862-7940 52:6<495 2007 52 10492 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer