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On calmness of a class of multifunctions
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SYSNO ASEP 0410945 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On calmness of a class of multifunctions Author(s) Henrion, R. (DE)
Jourani, A. (FR)
Outrata, Jiří (UTIA-B) RID, ORCIDSource Title SIAM Journal on Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1052-6234
Roč. 13, č. 2 (2002), s. 603-618Number of pages 16 s. Language eng - English Country US - United States Keywords multifunction ; stability ; nonsmooth calculus Subject RIV BB - Applied Statistics, Operational Research R&D Projects IAA1075005 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) ME 427 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z1075907 - UTIA-B Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
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