Geodesic
Metric Regularity, Polyhedrality and Complementarity
Journal of convex analysis, Tome 25 (2018) no. 2, pp. 571-594
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

The paper is devoted to (metric) regularity theory of semi-linear mappings (set-valued mappings whosegraphs are finite unions of convex polyhedral sets). The key results relate to mappings associated with certain "complementarity relations" on polyhedral sets that contain as particular case the standard complementarity of dual polyhedral cones. We also show how the well known results of Robinson and Dontchev-Rockafellar on variational inequalities over polyhedral sets follow from the results obtained in the paper.
Classification : 49J40, 49J53, 52B11, 90C31
Mots-clés : Variational analysis, semi-linear mapping, variational inequality, strong regularity, complementarity mapping 
@article{JCA_2018_25_2_JCA_2018_25_2_a12,
     author = {A. D. Ioffe},
     title = {Metric {Regularity,} {Polyhedrality} and {Complementarity}},
     journal = {Journal of convex analysis},
     pages = {571--594},
     year = {2018},
     volume = {25},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a12/}
}
TY  - JOUR
AU  - A. D. Ioffe
TI  - Metric Regularity, Polyhedrality and Complementarity
JO  - Journal of convex analysis
PY  - 2018
SP  - 571
EP  - 594
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a12/
ID  - JCA_2018_25_2_JCA_2018_25_2_a12
ER  - 
%0 Journal Article
%A A. D. Ioffe
%T Metric Regularity, Polyhedrality and Complementarity
%J Journal of convex analysis
%D 2018
%P 571-594
%V 25
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a12/
%F JCA_2018_25_2_JCA_2018_25_2_a12
A. D. Ioffe. Metric Regularity, Polyhedrality and Complementarity. Journal of convex analysis, Tome 25 (2018) no. 2, pp. 571-594. http://geodesic.mathdoc.fr/item/JCA_2018_25_2_JCA_2018_25_2_a12/