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On calmness of a class of multifunctions
- 1.0410945 - UTIA-B 20020159 RIV US eng J - Journal Article
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
R&D Projects: GA AV ČR IAA1075005; GA MŠMT ME 427
Institutional research plan: CEZ:AV0Z1075907
Keywords : multifunction * stability * nonsmooth calculus
Subject RIV: BB - Applied Statistics, Operational Research
Impact factor: 1.513, year: 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.
Permanent Link: http://hdl.handle.net/11104/0131032
Number of the records: 1