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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>2018-01-15T18:40:01Z</responseDate> <request identifier=oai:HAL:hal-00698802v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00698802v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:ART</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:BNRMI</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:TDS-MACS</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Representable Monotone Operators and Limits of Sequences of Maximal Monotone Operators</title> <creator>García, Yboon</creator> <creator>Lassonde, Marc</creator> <contributor>Instituto de Matematica y Ciencias Afines (IMCA) ; Universidad Nacional de Ingeneria</contributor> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <description>International audience</description> <source>ISSN: 0927-6947</source> <source>EISSN: 1572-932X</source> <source>Set-Valued Analysis</source> <publisher>Springer Verlag</publisher> <identifier>hal-00698802</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00698802</identifier> <source>https://hal.archives-ouvertes.fr/hal-00698802</source> <source>Set-Valued Analysis, Springer Verlag, 2012, 20 (1), pp.61-73</source> <language>en</language> <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 show that the lower limit of a sequence of maximal monotone operators on a reflexive Banach space is a representable monotone operator. As a consequence, we obtain that the variational sum of maximal monotone operators and the variational composition of a maximal monotone operator with a linear continuous operator are both representable monotone operators.</description> <date>2012</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>