Journal of Convex Analysis 13 (2006), No. 3, 799--822
Copyright Heldermann Verlag 2006
Coderivative Calculus and Robust Lipschitzian Stability of Variational Systems
Boris S. Mordukhovich
Dept. of Mathematics, Wayne State University, Detroit, MI 48202, U.S.A.
boris@math.wayne.edu
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.
Keywords: Variational analysis, generalized differentiation, coderivatives, robust Lipschitzian stability, parametric variational systems.
MSC: 49J52, 58C06, 90C31
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