On calmness of a class of multifunctions

0410945 - UTIA-B 20020159 RIV US eng J - Článek v odborném periodiku
Henrion, R. - Jourani, A. - Outrata, Jiří
On calmness of a class of multifunctions.
SIAM Journal on Optimization. Roč. 13, č. 2 (2002), s. 603-618. ISSN 1052-6234. E-ISSN 1095-7189
Grant CEP: GA AV ČR IAA1075005; GA MŠMT ME 427
Výzkumný záměr: CEZ:AV0Z1075907
Klíčová slova: multifunction * stability * nonsmooth calculus
Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum
Impakt faktor: 1.513, rok: 2002

The paper deals with calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various calmness criteria which are derived in terms of coderivatives and subdifferentials. The second part demonstrates the importance of calmness in several areas of nonsmooth analysis. In particular, we focus on nonsmooth calculus and solution stability in mathematical programming and in equilibrium problems. The derived conditions find a number of applications there.
Trvalý link: http://hdl.handle.net/11104/0131032