Geodesic
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

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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). 
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     title = {Sensitivity analysis of solutions to a class of quasi-variational inequalities},
     journal = {Bollettino della Unione matematica italiana},
     pages = {767--771},
     publisher = {mathdoc},
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     zbl = {1150.49010},
     mrnumber = {MR2182428},
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     url = {http://geodesic.mathdoc.fr/item/BUMI_2005_8_8B_3_a14/}
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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/