Geodesic
Regularization for unconstrained vector optimization of convex functionals in Banach spaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 372-378 
B. Nguyen. Regularization for unconstrained vector optimization of convex functionals in Banach spaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 3, pp. 372-378. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_3_a1/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An operator regularization method is considered for ill-posed vector optimization of weakly lower semicontinuous essentially convex functionals on reflexive Banach spaces. The regularization parameter is chosen by a modified generalized discrepancy principle. A condition for the estimation of the convergence rate of regularized solutions is derived.

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