Geodesic
From Convergence Principles to Stability and Optimality Conditions
Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1043-1072.

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

We show in a rather general setting that Hoelder and Lipschitz stability properties of solutions to variational problems can be characterized by convergence of more or less abstract iteration schemes. Depending on the principle of convergence, new and intrinsic stability conditions can be derived. Our most abstract models are (multi-) functions on complete metric spaces. The relevance of this approach is illustrated by deriving both classical and new results on existence and optimality conditions, stability of feasible and solution sets and convergence behavior of solution procedures.
Classification : 49J53, 49K40, 90C31, 65J05
Mots-clés : Generalized equations, Hoelder stability, iteration schemes, calmness, Aubin property, variational principles 
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     title = {From {Convergence} {Principles} to {Stability} and {Optimality} {Conditions}},
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D. Klatte; A. Kruger; B. Kummer. From Convergence Principles to Stability and Optimality Conditions. Journal of convex analysis, Tome 19 (2012) no. 4, pp. 1043-1072. http://geodesic.mathdoc.fr/item/JCA_2012_19_4_JCA_2012_19_4_a9/