untitled
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<identifier>oai:HAL:hal-00728816v1</identifier>
<datestamp>2017-12-21</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
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<setSpec>collection:UNIV-AG</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>A multipoint iterative method for semistable solutions</title>
<creator>Steeve, Burnet</creator>
<creator>Jean-Alexis, Célia</creator>
<creator>Piétrus, Alain</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 1607-2510</source>
<source>Applied Mathematics E - Notes</source>
<publisher>Tsing Hua University</publisher>
<identifier>hal-00728816</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00728816</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00728816</source>
<source>Applied Mathematics E - Notes, Tsing Hua University, 2012, 12, pp.44-52</source>
<language>en</language>
<subject lang=en>set-valued mapping</subject>
<subject lang=en>generalized equations</subject>
<subject lang=en>semistability</subject>
<subject lang=en>Hölder-type condition</subject>
<subject lang=en>superlinear and superquadratic convergence</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 : $0in varphi(z)+F(z)$ where $varphi$ is a single-valued function admitting a second order Fréchet derivative and $F$ is a set-valued map from $R^q$ to the closed subsets of $R^q$. In order to approximate a solution $bar z$ of the previous inclusion, we use an iterative scheme based on a multipoint method. We obtain, thanks to some semistability properties of $bar z$, local superquadratic or cubic convergent sequences</description>
<date>2012</date>
</dc>
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