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<OAI-PMH schemaLocation=http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd> <responseDate>2018-01-15T18:36:43Z</responseDate> <request identifier=oai:HAL:hal-00779988v1 verb=GetRecord metadataPrefix=oai_dc>http://api.archives-ouvertes.fr/oai/hal/</request> <GetRecord> <record> <header> <identifier>oai:HAL:hal-00779988v1</identifier> <datestamp>2017-12-21</datestamp> <setSpec>type:ART</setSpec> <setSpec>subject:math</setSpec> <setSpec>collection:INSMI</setSpec> <setSpec>collection:BNRMI</setSpec> <setSpec>collection:UNIV-AG</setSpec> <setSpec>collection:TDS-MACS</setSpec> </header> <metadata><dc> <publisher>HAL CCSD</publisher> <title lang=en>Coupling viscosity methods with the extragradient algorithm for solving equilibrium problems</title> <creator>Maingé, Paul-Emile</creator> <creator>Moudafi, Abdellatif</creator> <contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor> <contributor>Groupe de Recherche en Informatique et Mathématiques Appliquées Antilles-Guyane (GRIMAAG) ; Université des Antilles et de la Guyane (UAG)</contributor> <description>International audience</description> <source>Journal of Nonlinear and Convex Analysis</source> <publisher>Yokohama</publisher> <identifier>hal-00779988</identifier> <identifier>https://hal.univ-antilles.fr/hal-00779988</identifier> <source>https://hal.univ-antilles.fr/hal-00779988</source> <source>Journal of Nonlinear and Convex Analysis, Yokohama, 2008, 9 (2), pp.283-294</source> <language>en</language> <subject lang=en>Fixed point problem</subject> <subject lang=en>variational inequality</subject> <subject lang=en>monotone mapping</subject> <subject lang=en>equilibrium problem</subject> <subject lang=en>hybrid steepest descent</subject> <subject lang=en>extragradient methodooperative games</subject> <subject lang=en>random order values</subject> <subject lang=en>hedonic games</subject> <subject lang=en>top coalition property</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>We make use of the viscosity technique to develop a convergent method for approximating a common element of the set of fixed points of a demicontractive operator and the set of solutions of a monotone equilibrium problem. The proposed algorithm is obtained by coupling a modified hybrid steepest descent method with the extragradient algorithm. Under mild conditions, the strong convergence of the sequences generated by the algorithm is obtained. Using this result we obtain two corollaries which improve or develop several corresponding results in this field.</description> <date>2008</date> </dc> </metadata> </record> </GetRecord> </OAI-PMH>