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<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd> <responseDate>2018-01-15T18:40:00Z</responseDate> <request identifier=oai:HAL:hal-00698981v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00698981v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:ART</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:BNRMI</setSpec> <setSpec>collection:TDS-MACS</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Fragmentability of sequences of set-valued mappings with applications to variational principles</title> <creator>Lassonde, Marc</creator> <creator>Revalski, Julian</creator> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <contributor>Institute of Mathematics and Informatics ; Bulgarian Academy of Sciences </contributor> <description>International audience</description> <source>ISSN: 0002-9939</source> <source>Proceedings of the American Mathematical Society</source> <publisher>American Mathematical Society</publisher> <identifier>hal-00698981</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00698981</identifier> <source>https://hal.archives-ouvertes.fr/hal-00698981</source> <source>Proceedings of the American Mathematical Society, American Mathematical Society, 2005, 133 (9), pp.2637-2646</source> <language>en</language> <subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject> <subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject> <type>info:eu-repo/semantics/article</type> <type>Journal articles</type> <description lang=en>We propose to study fragmentability of set-valued mappings not only for a given single mapping, but also for a sequence of mappings associated with the initial one. It turns out that this property underlies several variational principles, such as for example the Deville-Godefroy-Zizler variational principle and the Stegall variational principle, by providing a common path for proof.</description> <date>2005</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>