Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces

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dc.creatorChancelier, Jean-Philippe
dc.date2007-12-07
dc.date.accessioned2026-07-07T08:47:58Z
dc.date.available2026-07-07T08:47:58Z
dc.descriptionLet $X$ be a real Banach space with a normalized duality mapping uniformly norm-to-weak$^\star$ continuous on bounded sets or a reflexive Banach space which admits a weakly continuous duality mapping $J_Φ$ with gauge $ϕ$. Let $f$ be an {\em $α$-contraction} and $\{T_n\}$ a sequence of nonexpansive mapping, we study the strong convergence of explicit iterative schemes x_{n+1} = α_n f(x_n) + (1-α_n) T_n x_n with a general theorem and then recover and improve some specific cases studied in the literature
dc.identifierhttps://arxiv.org/abs/0712.1172
dc.identifierhttp://arxiv.org/abs/0712.1172
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143785
dc.subjectOptimization and Control
dc.titleIterative schemes for computing fixed points of nonexpansive mappings in Banach spaces
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