Sensitivity analysis of solutions to a class of quasi-variational inequalities
Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 767-771
We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality $$ (QVI) \qquad u\in K(u), \langle C(u), v-u\rangle \geq0, \qquad \forall v \in K(u), $$ when both the operator $C$ and the convex $K$ are perturbed. In particular, we prove the Hölder continuity of the solution sets of the problems perturbed around the original problem. All the results may be extended to infinite-dimensional (QVI).
@article{BUMI_2005_8_8B_3_a14,
author = {Adly, Samir and Ait Mansour, Mohamed and Scrimali, Laura},
title = {Sensitivity analysis of solutions to a class of quasi-variational inequalities},
journal = {Bollettino della Unione matematica italiana},
pages = {767--771},
year = {2005},
volume = {Ser. 8, 8B},
number = {3},
zbl = {1150.49010},
mrnumber = {MR2182428},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a14/}
}
TY - JOUR AU - Adly, Samir AU - Ait Mansour, Mohamed AU - Scrimali, Laura TI - Sensitivity analysis of solutions to a class of quasi-variational inequalities JO - Bollettino della Unione matematica italiana PY - 2005 SP - 767 EP - 771 VL - 8B IS - 3 UR - http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a14/ LA - en ID - BUMI_2005_8_8B_3_a14 ER -
%0 Journal Article %A Adly, Samir %A Ait Mansour, Mohamed %A Scrimali, Laura %T Sensitivity analysis of solutions to a class of quasi-variational inequalities %J Bollettino della Unione matematica italiana %D 2005 %P 767-771 %V 8B %N 3 %U http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a14/ %G en %F BUMI_2005_8_8B_3_a14
Adly, Samir; Ait Mansour, Mohamed; Scrimali, Laura. Sensitivity analysis of solutions to a class of quasi-variational inequalities. Bollettino della Unione matematica italiana, Série 8, 8B (2005) no. 3, pp. 767-771. http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a14/