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<identifier>oai:HAL:hal-00773198v1</identifier>
<datestamp>2018-01-11</datestamp>
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<title lang=en>Combining the auxiliary problem principle with approximation methods</title>
<creator>Moudafi, Abdellatif</creator>
<creator>Théra, Michel</creator>
<contributor>Département de Mathématiques et Informatique (D.M.I.) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Guadeloupe) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<contributor>Laboratoire d'Arithmétique, de Calcul formel et d'Optimisation (LACO) ; Université de Limoges (UNILIM) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<description>International audience</description>
<source>Lecture notes in economics and mathematical systems</source>
<identifier>hal-00773198</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00773198</identifier>
<source>https://hal.univ-antilles.fr/hal-00773198</source>
<source>Lecture notes in economics and mathematical systems, 1997, 452, pp.196-213</source>
<language>en</language>
<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 paper deals with iterative schemes for finding a zero of a maximal monotone operator. A combination of the auxiliary principle with the Tikhonov method is considered. Under some assumptions the sequence generated by such an iterative scheme is shown to converge to a solution of the problem that is required to satisfy an associated variational inequality</description>
<date>1997-08-08</date>
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