Geodesic
First- and second-order optimality conditions for mathematical programs with vanishing constraints
Applications of Mathematics, Tome 52 (2007) no. 6, pp. 495-514.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.1007/s10492-007-0029-y
Classification : 90C30, 90C33
Keywords: mathematical programs with vanishing constraints; mathematical programs with equilibrium constraints; first-order optimality conditions; second-order optimality conditions 
@article{10_1007_s10492_007_0029_y,
     author = {Hoheisel, Tim and Kanzow, Christian},
     title = {First- and second-order optimality conditions for mathematical programs with vanishing constraints},
     journal = {Applications of Mathematics},
     pages = {495--514},
     publisher = {mathdoc},
     volume = {52},
     number = {6},
     year = {2007},
     doi = {10.1007/s10492-007-0029-y},
     mrnumber = {2357577},
     zbl = {1164.90407},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0029-y/}
}
TY  - JOUR
AU  - Hoheisel, Tim
AU  - Kanzow, Christian
TI  - First- and second-order optimality conditions for mathematical programs with vanishing constraints
JO  - Applications of Mathematics
PY  - 2007
SP  - 495
EP  - 514
VL  - 52
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0029-y/
DO  - 10.1007/s10492-007-0029-y
LA  - en
ID  - 10_1007_s10492_007_0029_y
ER  - 
%0 Journal Article
%A Hoheisel, Tim
%A Kanzow, Christian
%T First- and second-order optimality conditions for mathematical programs with vanishing constraints
%J Applications of Mathematics
%D 2007
%P 495-514
%V 52
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0029-y/
%R 10.1007/s10492-007-0029-y
%G en
%F 10_1007_s10492_007_0029_y
Hoheisel, Tim; Kanzow, Christian. First- and second-order optimality conditions for mathematical programs with vanishing constraints. Applications of Mathematics, Tome 52 (2007) no. 6, pp. 495-514. doi : 10.1007/s10492-007-0029-y. http://geodesic.mathdoc.fr/articles/10.1007/s10492-007-0029-y/

Cité par Sources :