A subdifferential condition for calmness of multifunctions

0410581 - UTIA-B 20010050 RIV US eng J - Článek v odborném periodiku
Henrion, R. - Outrata, Jiří
A subdifferential condition for calmness of multifunctions.
Journal of Mathematical Analysis and Applications. Roč. 258, č. 1 (2001), s. 110-130. ISSN 0022-247X. E-ISSN 1096-0813
Grant CEP: GA ČR GA201/00/0080
Výzkumný záměr: AV0Z1075907
Klíčová slova: calmness * constraint qualification * multifunctions
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Impakt faktor: 0.444, rok: 2001

A condition ensuring calmness of a class of multifunctions between finite-dimensional spaces is derived in terms of subdifferential concepts developed by Mordukhovich. The considered class comprises general constraint set mappings as they occur in optimization or mappings associated with a certain type of variational system. The condition ensuring calmness is obtained as an appropriate reduction of Mordukhovich's well-known characterization of the stronger Aubin property.
Trvalý link: http://hdl.handle.net/11104/0130670