untitled
<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-00924150v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request>
<GetRecord>
<record>
<header>
<identifier>oai:HAL:hal-00924150v1</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>Newton-Scant method for functions with values in a cone</title>
<creator>Pietrus, Alain</creator>
<creator>Jean-Alexis, Célia</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>Serdica Math. J.</source>
<identifier>hal-00924150</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00924150</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00924150</source>
<source>Serdica Math. J., 2013, 39, pp.271-286</source>
<language>en</language>
<subject lang=en>normed convex process</subject>
<subject lang=en>Variational inclusion</subject>
<subject lang=en>set-valued map</subject>
<subject lang=en>pseudo-Lipschitz map</subject>
<subject lang=en>divided differences</subject>
<subject lang=en>closed convex cone</subject>
<subject lang=en>majorized sequences</subject>
<subject lang=en>normed convex process.</subject>
<subject>49J53, 47H04, 65K10, 14P15.</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 ∈ K − f(x) − g(x) where f is a smooth function from a reflexive Banach space X into a Banach space Y , g is a function from X into Y admitting divided differences and K is a nonempty closed convex cone in the space Y . We show that the previous problem can be solved by a combination of two methods: the Newton and the Secant methods. We show that the order of the semilocal method obtained is equal to (1 + √5)/2. Numerical results are also given to illustrate the convergence at the end of the paper.</description>
<date>2013</date>
</dc>
</metadata>
</record>
</GetRecord>
</OAI-PMH>
