Geodesic
Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 45-69 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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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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     title = {Global {Lipschitz} {Continuity} of {Solutions} to {Parameterized} {Variational} {Inequalities}},
     journal = {Bollettino della Unione matematica italiana},
     pages = {45--69},
     year = {2009},
     volume = {Ser. 9, 2},
     number = {1},
     zbl = {1170.49011},
     mrnumber = {2493644},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a2/}
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Maugeri, Antonino; Scrimali, Laura. Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities. Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 45-69. http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a2/