untitled
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<identifier>oai:HAL:hal-00776658v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<setSpec>collection:CEREGMIA</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>The asymptotic behavior of an inertial alternating proximal algorithm for monotone inclusions</title>
<creator>Moudafi, Abdellatif</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0893-9659</source>
<source>Applied Mathematics Letters</source>
<publisher>Elsevier</publisher>
<identifier>hal-00776658</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00776658</identifier>
<source>https://hal.univ-antilles.fr/hal-00776658</source>
<source>Applied Mathematics Letters, Elsevier, 2010, 23 (5), pp.620-624. 〈10.1016/j.aml.2010.01.023〉</source>
<identifier>DOI : 10.1016/j.aml.2010.01.023</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1016/j.aml.2010.01.023</relation>
<language>en</language>
<subject lang=en>Maximal monotone operators</subject>
<subject lang=en>Alternating proximal algorithm</subject>
<subject lang=en>Alternating projection methods</subject>
<subject lang=en>Joint minimization</subject>
<subject lang=en>Equilibrium problems</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>The aim of this paper is to investigate the asymptotic behavior of an inertial alternating algorithm based on the composition of resolvents of monotone operators. The proposed algorithm is a generalization of those proposed in Attouch et al. (2007) and Bauschke et al. (2005). As a special case, we also recover the classical alternating minimization algorithm (Acker, 1980), which itself is a natural extension of the alternating projection algorithm of von Neumann (1950) [4]. An application to equilibrium problems is also proposed.</description>
<date>2010-05</date>
</dc>
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