Geodesic
Coderivative Calculus and Robust Lipschitzian Stability of Variational Systems
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 799-822

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

The paper deals with a broad class of parametric variational systems in infinite-dimensional spaces and mainly concerns their robust Lipschitzian stability with respect to parameter perturbations. We develop a local sensitivity analysis for such systems based on advanced tools of generalized differentiation. A special attention is paid to variational systems arising as solution maps to variational inequalities, problems of parametric optimization, and their extensions. A number of the results obtained are new even in finite-dimensional settings.
Classification : 49J52, 58C06, 90C31
Mots-clés : Variational analysis, generalized differentiation, coderivatives, robust Lipschitzian stability, parametric variational systems 
B. S. Mordukhovich. Coderivative Calculus and Robust Lipschitzian Stability of Variational Systems. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 799-822. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a20/
@article{JCA_2006_13_3_JCA_2006_13_3_a20,
     author = {B. S. Mordukhovich},
     title = {Coderivative {Calculus} and {Robust} {Lipschitzian} {Stability} of {Variational} {Systems}},
     journal = {Journal of convex analysis},
     pages = {799--822},
     year = {2006},
     volume = {13},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a20/}
}
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