Sensitivity analysis of solutions to a class of quasi-variational inequalities
Samir Adly; Mohamed Ait Mansour; Laura Scrimali
Bollettino dell'Unione Matematica Italiana (2005)
- Volume: 8-B, Issue: 3, page 767-771
- ISSN: 0392-4041
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topAdly, Samir, Ait Mansour, Mohamed, and Scrimali, Laura. "Sensitivity analysis of solutions to a class of quasi-variational inequalities." Bollettino dell'Unione Matematica Italiana 8-B.3 (2005): 767-771. <http://eudml.org/doc/196259>.
@article{Adly2005,
abstract = {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).},
author = {Adly, Samir, Ait Mansour, Mohamed, Scrimali, Laura},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Hölder continuity; quasi-variational inequalities; perturbations},
language = {eng},
month = {10},
number = {3},
pages = {767-771},
publisher = {Unione Matematica Italiana},
title = {Sensitivity analysis of solutions to a class of quasi-variational inequalities},
url = {http://eudml.org/doc/196259},
volume = {8-B},
year = {2005},
}
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 dell'Unione Matematica Italiana
DA - 2005/10//
PB - Unione Matematica Italiana
VL - 8-B
IS - 3
SP - 767
EP - 771
AB - 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).
LA - eng
KW - Hölder continuity; quasi-variational inequalities; perturbations
UR - http://eudml.org/doc/196259
ER -
References
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