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<identifier>oai:HAL:hal-00779989v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Weak convergence theorems for nonexpansive mappings and equilibrium problems</title>
<creator>Moudafi, Abdellatif</creator>
<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-00779989</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00779989</identifier>
<source>https://hal.univ-antilles.fr/hal-00779989</source>
<source>Journal of Nonlinear and Convex Analysis, Yokohama, 2008, 9 (1), pp.37-43</source>
<language>en</language>
<subject lang=en>Fixed point problem</subject>
<subject lang=en>variational inequality</subject>
<subject lang=en>inverse-strongly monotone operator</subject>
<subject lang=en>equilibrium problem</subject>
<subject lang=en>nonexpansive mapping</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 introduce a convergent method for approximating a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a monotone equilibrium problem. Using the main convergence theorem we obtain results which improve, develop and unify several results in fixed point problems, variational inequalities and equilibrium problems.</description>
<date>2008-04</date>
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