A subdifferential condition for calmness of multifunctions

0410581 20240103182224.220060210235959.9 A subdifferential condition for calmness of multifunctions 21 s. cav_un_epca*02570170022-247XJournal of Mathematical Analysis and Applications2581 (2001)110-130Elsevier calmness constraint qualification multifunctions cav_un_auth*0015558 Henrion R. DE cav_un_auth*0101173 Outrata Jiří UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 12B GA201/00/0080 GA ČR cav_un_auth*0005674 AV0Z1075907 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. BB MTR http://hdl.handle.net/11104/0130670 UTIA-B 20010050 2001 cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 258 č. 1 2001 110 130 Elsevier