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<identifier>oai:HAL:hal-00776657v1</identifier>
<datestamp>2017-12-21</datestamp>
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<setSpec>subject:math</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Proximal methods for a class of bilevel monotone equilibrium problems</title>
<creator>Moudafi, Abdellatif</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 0925-5001</source>
<source>EISSN: 1573-2916</source>
<source>Journal of Global Optimization</source>
<publisher>Springer Verlag</publisher>
<identifier>hal-00776657</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00776657</identifier>
<source>https://hal.univ-antilles.fr/hal-00776657</source>
<source>Journal of Global Optimization, Springer Verlag, 2010, 47 (2), pp.287-292. 〈10.1007/s10898-009-9476-1〉</source>
<identifier>DOI : 10.1007/s10898-009-9476-1</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1007/s10898-009-9476-1</relation>
<language>en</language>
<subject lang=en>Bilevel problem</subject>
<subject lang=en>Variational inequality Monotonicity</subject>
<subject lang=en>Equilibrium problem</subject>
<subject lang=en>Proximal method</subject>
<subject lang=en>90C25</subject>
<subject lang=en>49M45</subject>
<subject lang=en>65C25</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 consider a bilevel problem involving two monotone equilibrium bifunctions and we show that this problem can be solved by a simple proximal method. Under mild conditions, the weak convergence of the sequences generated by the algorithm is obtained. Using this result we obtain corollaries which improve several corresponding results in this field.</description>
<date>2010-06</date>
</dc>
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