The fixed point property for a class of nonexpansive maps in L\sp\infty(Ω,Σ,μ)

dc.creatorBarroso, Cleon S.
dc.date2004-04-12
dc.date.accessioned2026-07-07T05:07:24Z
dc.date.available2026-07-07T05:07:24Z
dc.descriptionFor a finite and positive measure space $(Ω,Σ,μ)$ and any weakly compact convex subset of $L\sp\infty(Ω,Σ,mu)$, a fixed point theorem for a class of nonexpansive self-mappings is proved. An analogous result is obtained for the space $C(Ω)$. An illustrative example is given.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0404235
dc.identifierhttp://arxiv.org/abs/math/0404235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70844
dc.subjectFunctional Analysis
dc.subject47H10
dc.titleThe fixed point property for a class of nonexpansive maps in L\sp\infty(Ω,Σ,μ)
dc.typetext

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