Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities
Bollettino della Unione matematica italiana, Série 9, Tome 2 (2009) no. 1, pp. 45-69
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.
@article{BUMI_2009_9_2_1_a2,
author = {Maugeri, Antonino and Scrimali, Laura},
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/}
}
TY - JOUR AU - Maugeri, Antonino AU - Scrimali, Laura TI - Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities JO - Bollettino della Unione matematica italiana PY - 2009 SP - 45 EP - 69 VL - 2 IS - 1 UR - http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a2/ LA - en ID - BUMI_2009_9_2_1_a2 ER -
%0 Journal Article %A Maugeri, Antonino %A Scrimali, Laura %T Global Lipschitz Continuity of Solutions to Parameterized Variational Inequalities %J Bollettino della Unione matematica italiana %D 2009 %P 45-69 %V 2 %N 1 %U http://geodesic.mathdoc.fr/item/BUMI_2009_9_2_1_a2/ %G en %F BUMI_2009_9_2_1_a2
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/