Maugeri, Scrimali: Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities

Maugeri, Antonino and Scrimali, Laura:
Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities
Bollettino dell'Unione Matematica Italiana Serie 9 2 (2009), fasc. n.1, p. 45-69, (English)
pdf (336 Kb), djvu (213 Kb). | MR 2493644 | Zbl 1170.49011

Sunto

The question of Lipschitz continuity of solutions to parameterized variational inequalities with perturbed constraint sets is considered. Under the sole Lipschitz continuity assumption on data, a Lipschitz continuity result is proved which, in particular, holds for variational inequalities modeling evolutionary network equilibrium problems. Moreover, in view of real-life applications, a long-term memory is introduced and the corresponding variational inequality model is discussed.

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