untitled
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<responseDate>2018-01-17T12:03:10Z</responseDate>
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<identifier>oai:HAL:hal-01630560v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Exact and inexact Hummel-Seebeck method for variational inclusions</title>
<creator>Burnet, Steve</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: 2518-3680</source>
<source>advances in analysis</source>
<identifier>hal-01630560</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01630560</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01630560</source>
<source>advances in analysis, 2017, 2 (4), pp.257-266. 〈10.22606〉</source>
<identifier>DOI : 10.22606</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.22606</relation>
<language>en</language>
<subject lang=en>Set-valued mapping</subject>
<subject lang=en> generalized equations</subject>
<subject lang=en> semistability</subject>
<subject lang=en> superquadratic convergence</subject>
<subject lang=en> cubic convergence.</subject>
<subject>[MATH] Mathematics [math]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We deal with a perturbed version of a Hummel-Seebeck type method to approximate a solution of variational inclusions of the form : 0 ∈ Φ(z) + F(z) where Φ is a single-valued function twice continuously Fréchet differentiable and F is a set-valued map from Rn to the closed subsets of Rn. This framework is convenient to treat in a unified way standard sequential quadratic programming, its stabilized version, sequential quadratically constrained quadratic programming, and linearly constrained Lagrangian methods (see [1]). We obtain, thanks to some semistability and another property (which is close to the hemistability) of the solution z ̄ of the previous inclusion, the local existence of a sequence that is superquadratically or cubically convergent.</description>
<date>2017</date>
</dc>
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