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<identifier>oai:HAL:hal-00779258v1</identifier>
<datestamp>2017-12-21</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>A remark on the convergence of the Tikhonov regularization without monotonicity</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>Mathematical Inequalities and Apllications</source>
<identifier>hal-00779258</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00779258</identifier>
<source>https://hal.univ-antilles.fr/hal-00779258</source>
<source>Mathematical Inequalities and Apllications, 2004, 7 (2), pp.283-288</source>
<language>en</language>
<subject lang=it>monotone and hypomonotone operators</subject>
<subject lang=it>Tikhonov regularization</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>Relying on an idea of T. Pennanen, we use a localized version of maximal hypomonotonicity, and prove that it is enough to guarantee the local convergence of the Tikhonov regularization. In the process, we revisit this method which together with the help of the analysis developed by T. Pennanen allows us to obtain the desired result.</description>
<date>2004</date>
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