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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>2018-01-15T18:32:07Z</responseDate> <request identifier=oai:HAL:hal-00924143v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00924143v1</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>No differentiable perturbed Newton's method for functions with values in a cone</title> <creator>Pietrus, Alain</creator> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <description>International audience</description> <source>Revista Investigacion Operacional</source> <identifier>hal-00924143</identifier> <identifier>https://hal.archives-ouvertes.fr/hal-00924143</identifier> <source>https://hal.archives-ouvertes.fr/hal-00924143</source> <source>Revista Investigacion Operacional, 2014, 35 (1), pp.58-67</source> <language>en</language> <subject lang=en>Zincenko's iteration</subject> <subject lang=en>Variational inclusion</subject> <subject lang=en>Set-valued map</subject> <subject lang=en>pseudo-Lipschitz map</subject> <subject lang=en>metric regularity</subject> <subject lang=en>closed convex cone</subject> <subject lang=en>normed convex process</subject> <subject lang=en>Zincenko's iteration.</subject> <subject>90C59</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>This paper deals with variational inclusions of the form 0 2 f(x) + g(x) K where f is smooth function from a re exive Banach space X into a Banach space Y , g is a Lipschitz function from X into Y and K is a nonempty closed convex cone in the space Y . We show that the previous problem can be solved by an extension of the Zincenko's method which can be seen as a perturbed Newton's method. Numerical results are given at the end of the paper.</description> <date>2014</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>