Éditeur(s) : HAL CCSD Springer Verlag
Résumé : International audience
We study the convergence of the Mann Iteration applied to the partial complement of a firmly nonexpansive operator with respect to a linear subspace of a Hilbert space. A new concept considered here. A regularized version is also proposed. Furthermore, to motivate this concept, some applications to robust regression procedures and location problems are proposed.
ISSN: 1862-4472

hal-00776655
https://hal.univ-antilles.fr/hal-00776655
DOI : 10.1007/s11590-009-0172-3

Éditeur(s) : HAL CCSD Taylor & Francis
Résumé : International audience
We study the convergence of a variable version of the Krasnoselski-Mann algorithm applied to a primal dual fixed point problem. The link with Spingarn's partial inverse method is made, and an application to feasibility problems and mathematical programming is also proposed.
ISSN: 0163-0563

hal-00779984
https://hal.univ-antilles.fr/hal-00779984
DOI : 10.1080/01630560902987436