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<identifier>oai:HAL:hal-00780885v1</identifier>
<datestamp>2017-12-21</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>On the convergence of an approximate proximal method for DC functions</title>
<creator>Moudafi, Abdellatif</creator>
<creator>Maingé, Paul-Emile</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 Computational Mathematics,</source>
<identifier>hal-00780885</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00780885</identifier>
<source>https://hal.univ-antilles.fr/hal-00780885</source>
<source>Journal of Computational Mathematics,, 2006, 24 (4), pp.475-480</source>
<language>en</language>
<subject lang=en>DC minimization</subject>
<subject lang=en>Critical points</subject>
<subject lang=en>Subdierentials</subject>
<subject lang=en>Proximal mappings</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>Abstract In this paper we prove the convergence of the approximate proximal method for DC functions proposed by Sun et al [6]. Our analysis also permits to treat the exact method. We then propose an interesting result in the case where the second component of the DC function is differentiable and provide some computational experiences which proved the efficiency of our method.</description>
<date>2006</date>
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