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.
https://hal.univ-antilles.fr/hal-00776657
Contributeur : Pamphile Isch
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Soumis le : mardi 15 janvier 2013 - 21:41:14
Dernière modification le : mercredi 18 juillet 2018 - 20:11:27
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〉
