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<identifier>oai:HAL:hal-00757674v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Some results on subanalytic variational inclusions</title>
<creator>Cabuzel, Catherine</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>
<identifier>ISBN : 978-3-642-30503-0</identifier>
<source>Handbook of optimization, from classical to modern approach</source>
<contributor>I. Zelinka, V. Snasel, A. Abraham</contributor>
<publisher>Springer</publisher>
<identifier>hal-00757674</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00757674</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00757674</source>
<source>I. Zelinka, V. Snasel, A. Abraham. Handbook of optimization, from classical to modern approach, Springer, pp.51-72, 2013, Intelligent Systems Reference Library, 978-3-642-30503-0. 〈10.1007/978-3-642-30504-7-38〉</source>
<identifier>DOI : 10.1007/978-3-642-30504-7-38</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/978-3-642-30504-7-38</relation>
<language>en</language>
<subject lang=en>Subanalytic function</subject>
<subject lang=en>set-valued map</subject>
<subject lang=en>iterative method</subject>
<subject lang=en>Aubin property</subject>
<subject lang=en>metric regularity</subject>
<subject>[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]</subject>
<type>info:eu-repo/semantics/bookPart</type>
<type>Book sections</type>
<description lang=en>In this chapter, the aim is the solving of variational inclusions fo the form 0_in f(x)+F(x), where f is a subanalytic and locally Lipschitz function, F is a set-valued map with closed graph. The methods are developped using the metric regularity of (f+F) or the Aubin property of (f+F)^{-1}, and often lead to a superlinear convergence.</description>
<date>2013</date>
</dc>
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