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<responseDate>2018-01-15T18:32:07Z</responseDate>
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<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>
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<setSpec>collection:TDS-MACS</setSpec>
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<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>
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