RT Journal Article
T1 Lipschitz lower semicontinuity moduli for linear inequality systems
A1 Cánovas, M. J.
A1 Gisbert Frances, María Jesús
A1 Henrion, R.
A1 Parra, J.
AB The paper is focussed on the Lipschitz lower semicontinuity of the feasible set mapping for linear (finite and infinite) inequality systems in three different perturbation frameworks: full, right-hand side and left-hand side perturbations. Inspired by [14], we introduce the Lipschitz lower semicontinuity-star as an intermediate notion between the Lipschitz lower semicontinuity and the well-known Aubin property. We provide explicit point-based formulae for the moduli (best constants) of all three Lipschitz properties in all three perturbation settings.
PB Elsevier
SN 0022-247X
YR 2020
FD 2020-10-15
LK https://hdl.handle.net/10016/32996
UL https://hdl.handle.net/10016/32996
LA eng
NO This research has been partially supported by Grants MTM2014-59179-C2-2-P and PGC2018-097960-B-C21 from MINECO/MICINN, Spain and ERDF, "A way to make Europe", European Union.
DS e-Archivo
RD 1 sept. 2024