Proximal methods for a class of bilevel monotone equilibrium problems

Abstract : 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.
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https://hal.univ-antilles.fr/hal-00776657
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Submitted on : Tuesday, January 15, 2013 - 9:41:14 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:27 PM

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Abdellatif Moudafi. Proximal methods for a class of bilevel monotone equilibrium problems. Journal of Global Optimization, Springer Verlag, 2010, 47 (2), pp.287-292. ⟨10.1007/s10898-009-9476-1⟩. ⟨hal-00776657⟩

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