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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>2018-01-15T18:38:11Z</responseDate> <request identifier=oai:HAL:hal-00757686v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00757686v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:COMM</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=fr>Une méthode du point milieu de Newton pour les équations généralisées</title> <creator>Cabuzel, Catherine</creator> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <source>GDR MOA</source> <coverage>Sainte-Anne, Guadeloupe</coverage> <identifier>hal-00757686</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00757686</identifier> <source>https://hal.archives-ouvertes.fr/hal-00757686</source> <source>GDR MOA, Jun 2012, Sainte-Anne, Guadeloupe</source> <language>fr</language> <subject lang=en>Set-valued map</subject> <subject lang=en>midpoint method</subject> <subject lang=en>Hölder condition</subject> <subject lang=en>center-Hôlder condition</subject> <subject lang=en>Aubin property</subject> <subject lang=en>generalized equation</subject> <subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject> <type>info:eu-repo/semantics/conferenceObject</type> <type>Conference papers</type> <description lang=en>The midpoint method was previously used in the solving of equations and in this work, the aim is to adapt the theory to the set-valued analysis in order to approach solutions of generalized equations of the form 0_inf(x)+F(x). In particular, we show the existence and convergence fo sequences provided the second order derivative of the function f satisfies a Hölder condition, or a center-Hölder condition.</description> <date>2012-06-04</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>