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<identifier>oai:HAL:hal-00780210v1</identifier>
<datestamp>2017-12-21</datestamp>
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<title lang=en>A proximal method for maximal monotone operators via discretization of a first order dissipative dynamical system</title>
<creator>Maingé, Paul-Emile</creator>
<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 Convex Analysis</source>
<publisher>Heldermann</publisher>
<identifier>hal-00780210</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00780210</identifier>
<source>https://hal.univ-antilles.fr/hal-00780210</source>
<source>Journal of Convex Analysis, Heldermann, 2007, 14 (4), pp.869-878</source>
<language>en</language>
<subject lang=en>Monotone operators</subject>
<subject lang=en>standard and inertial proximal methods</subject>
<subject lang=en>minimization</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 present an iterative method for finding zeroes of maximal monotone operators in a real Hilbert space. The underlying idea relies upon the discretization of a first order dissipative dynamical system which allows us to preserve the local feature, as well as to obtain convergence results. The main theorems do not only recover known convergence results of standard and inertial proximal methods, but also provide a theoretical basis for the application of new iterative methods.</description>
<date>2007</date>
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