Visco-penalization of the sum of two monotone operators - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2008

Visco-penalization of the sum of two monotone operators

Résumé

A new type of approximating curve for finding a particular zero of the sum of two maximal monotone operators in a Hilbert space is investigated. This curve consists of the zeros of perturbed problems in which one operator is replaced with its Yosida approximation and a viscosity term is added. As the perturbation vanishes, the curve is shown to converge to the zero of the sum that solves a particular strictly monotone variational inequality. As an off-spring of this result, we obtain an approximating curve for finding a particular zero of the sum of several maximal monotone operators. Applications to convex optimization are discussed.
Fichier principal
Vignette du fichier
nonan.pdf (160.45 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00619389 , version 1 (06-09-2011)

Identifiants

Citer

Patrick Louis Combettes, Sever Adrian Hirstoaga. Visco-penalization of the sum of two monotone operators. Nonlinear Analysis: Theory, Methods and Applications, 2008, 69 (2), pp.579-591. ⟨10.1016/j.na.2007.06.003⟩. ⟨hal-00619389⟩
241 Consultations
265 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More