Geodesic
Second-Order Growth, Tilt Stability, and Metric Regularity of the Subdifferential
Journal of convex analysis, Tome 21 (2014) no. 4, pp. 1165-1192

Voir la notice de l'article provenant de la source Heldermann Verlag

This paper sheds new light on several interrelated topics of second-order variational analysis, both in finite and infinite-dimensional settings. We establish new relationships between second-order growth conditions on functions, the basic properties of metric regularity and subregularity of the limiting subdifferential, tilt-stability of local minimizers, and positive-definiteness/semidefiniteness properties of the second-order subdifferential (or generalized Hessian).
Classification : 49J52, 49J53, 90C31
Mots-clés : Variational analysis, quadratic growth, first-order and second-order generalized differentiation, metric regularity and subregularity, prox-regular functions, tilt stability in optimization 
@article{JCA_2014_21_4_JCA_2014_21_4_a12,
     author = {D. Drusvyatskiy and B. S. Mordukhovich and T. T. A. Nghia},
     title = {Second-Order {Growth,} {Tilt} {Stability,} and {Metric} {Regularity} of the {Subdifferential}},
     journal = {Journal of convex analysis},
     pages = {1165--1192},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a12/}
}
TY  - JOUR
AU  - D. Drusvyatskiy
AU  - B. S. Mordukhovich
AU  - T. T. A. Nghia
TI  - Second-Order Growth, Tilt Stability, and Metric Regularity of the Subdifferential
JO  - Journal of convex analysis
PY  - 2014
SP  - 1165
EP  - 1192
VL  - 21
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a12/
ID  - JCA_2014_21_4_JCA_2014_21_4_a12
ER  - 
%0 Journal Article
%A D. Drusvyatskiy
%A B. S. Mordukhovich
%A T. T. A. Nghia
%T Second-Order Growth, Tilt Stability, and Metric Regularity of the Subdifferential
%J Journal of convex analysis
%D 2014
%P 1165-1192
%V 21
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a12/
%F JCA_2014_21_4_JCA_2014_21_4_a12
D. Drusvyatskiy; B. S. Mordukhovich; T. T. A. Nghia. Second-Order Growth, Tilt Stability, and Metric Regularity of the Subdifferential. Journal of convex analysis, Tome 21 (2014) no. 4, pp. 1165-1192. http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a12/