Sensitivity analysis of solutions to a class of quasi-variational inequalities

Adly, Samir;Ait Mansour, Mohamed;Scrimali, Laura
(2005) Unione Matematica Italiana. Bollettino. Sezione B: Articoli di Ricerca Matematica — Vol. 8, n° 8, p. 767-771 (2005)

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  • Adly, SamirUniversité de Limoges
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  • Ait Mansour, Mohamed
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  • Scrimali, LauraUCLouvain
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Abstract
We provide a sensitivity result for the solutions to the following finite-dimensional quasi-variational inequality QVIu∈K(u),⟨C(u),v−u⟩≥0,∀v∈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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Adly, S., Ait Mansour, M., & Scrimali, L. (2005). Sensitivity analysis of solutions to a class of quasi-variational inequalities. Unione Matematica Italiana. Bollettino. Sezione B: Articoli Di Ricerca Matematica, 8(8), 767-771. https://hdl.handle.net/2078.5/50053 (Original work published 2005)