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dc.creatorStouti, Abdelkader
dc.date2018-03-15
dc.date.accessioned2019-06-28T17:06:25Z
dc.date.available2019-06-28T17:06:25Z
dc.identifierhttp://www.revistaproyecciones.cl/article/view/2777
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/101084
dc.descriptionIn this paper, we first prove that every finite nonempty pseudo-ordered with a least element has the least fixed point property and the least common fixed point property for every finite commutative family of self monotone maps. Dually, we establish that a finite nonempty pseudo-ordered with a greatest element has the greatest fixed point property and the greatest common fixed point property for every finite commutative family of self monotone maps. Secondly, we prove that every monotone map ƒ defined on a nonempty finite pseudo-ordered (X, ⊵) has at least a fixed point if and only if there is at least an element ɑ of X such that the subset of X defined by {ƒn(ɑ) : n ∈ ℕ } has a least or a greatest element. Furthermore, we show that the set of all common fixed points of every finite commutative family of monotone maps defined on a finite nonempty complete trellis is also a nonempty complete trellis.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttp://www.revistaproyecciones.cl/article/view/2777/2346
dc.rightsDerechos de autor 2018 Proyecciones. Journal of Mathematicses-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 37 No 1 (2018); 1-18en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 37 Núm. 1 (2018); 1-18es-ES
dc.source0717-6279
dc.source0716-0917
dc.titleThe fixed point and the common fixed point properties in finite pseudo-ordered sets.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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