${\cal T}$-class algorithms for pseudocontractions and $κ$-strict pseudocontractions in Hilbert spaces

dc.creatorChancelier, Jean-Philippe
dc.date2007-12-04
dc.date.accessioned2026-07-07T08:47:14Z
dc.date.available2026-07-07T08:47:14Z
dc.descriptionIn this paper we study iterative algorithms for finding a common element of the set of fixed points of $κ$-strict pseudocontractions or finding a solution of a variational inequality problem for a monotone, Lipschitz continuous mapping. The last problem being related to finding fixed points of pseudocontractions. These algorithms were already studied in [G.L. Acedo, H.-K. Xu] and [N. Nadezhkina, W. Takahashi] but our aim here is to provide the links between these know algorithms and the general framework of ${\cal T}$-class algorithms studied in [H.H. Bauschke, P.L. Combettes].
dc.identifierhttps://arxiv.org/abs/0712.0528
dc.identifierhttp://arxiv.org/abs/0712.0528
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143528
dc.subjectOptimization and Control
dc.title${\cal T}$-class algorithms for pseudocontractions and $κ$-strict pseudocontractions in Hilbert spaces
dc.typetext

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