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 
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     author = {B. S. Mordukhovich},
     title = {Coderivative {Calculus} and {Robust} {Lipschitzian} {Stability} of {Variational} {Systems}},
     journal = {Journal of convex analysis},
     pages = {799--822},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2006},
     url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a20/}
}
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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/