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<identifier>oai:HAL:hal-00776651v1</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:CEREGMIA</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=it>Split monotone variational 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: 0022-3239</source>
<source>EISSN: 1573-2878</source>
<source>Journal of Optimization Theory and Applications</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00776651</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00776651</identifier>
<source>https://hal.univ-antilles.fr/hal-00776651</source>
<source>Journal of Optimization Theory and Applications, Springer Verlag, 2011, 150 (2), pp.275-283. 〈10.1007/s10957-011-9814-6〉</source>
<identifier>DOI : 10.1007/s10957-011-9814-6</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-011-9814-6</relation>
<language>en</language>
<subject lang=en>Monotone inclusion</subject>
<subject lang=en>Split variational inequality</subject>
<subject lang=en>Nonexpansive operator</subject>
<subject lang=en>Averaged operator</subject>
<subject lang=en>Inverse strong monotonicity</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>Based on the very recent work by Censor-Gibali-Reich (http://arxiv.org/abs/1009.3780), we propose an extension of their new variational problem (Split Variational Inequality Problem) to monotone variational inclusions. Relying on the Krasnosel'skii-Mann Theorem for averaged operators, we analyze an algorithm for solving new split monotone inclusions under weaker conditions. Our weak convergence results improve and develop previously discussed Split Variational Inequality Problems, feasibility problems and related problems and algorithms.</description>
<date>2011-08</date>
</dc>
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