Fixed points and common fixed points theorems in pseudo-ordered sets

Under suitable conditions, we establish the existence of the greatest and the least fixed points of monotone maps defined on nonempty pseudo-ordered sets. Also, we prove that the set of all common fixed points of two categories of finite commutative family F of monotone maps f defined on a nonempty...

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Autores principales:	Stouti,Abdelkader, Maaden,Abdelhakim
Lenguaje:	Spanish / Castilian
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2013
Materias:	Pseudo-ordered set fixed point monotone map complete trellis
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400008
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spelling	oai:scielo:S0716-091720130004000082014-09-09Fixed points and common fixed points theorems in pseudo-ordered setsStouti,AbdelkaderMaaden,Abdelhakim Pseudo-ordered set fixed point monotone map complete trellis Under suitable conditions, we establish the existence of the greatest and the least fixed points of monotone maps defined on nonempty pseudo-ordered sets. Also, we prove that the set of all common fixed points of two categories of finite commutative family F of monotone maps f defined on a nonempty complete trellis is also a nonempty complete trellis.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.4 20132013-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400008es10.4067/S0716-09172013000400008
institution	Scielo Chile
collection	Scielo Chile
language	Spanish / Castilian
topic	Pseudo-ordered set fixed point monotone map complete trellis
spellingShingle	Pseudo-ordered set fixed point monotone map complete trellis Stouti,Abdelkader Maaden,Abdelhakim Fixed points and common fixed points theorems in pseudo-ordered sets
description	Under suitable conditions, we establish the existence of the greatest and the least fixed points of monotone maps defined on nonempty pseudo-ordered sets. Also, we prove that the set of all common fixed points of two categories of finite commutative family F of monotone maps f defined on a nonempty complete trellis is also a nonempty complete trellis.
author	Stouti,Abdelkader Maaden,Abdelhakim
author_facet	Stouti,Abdelkader Maaden,Abdelhakim
author_sort	Stouti,Abdelkader
title	Fixed points and common fixed points theorems in pseudo-ordered sets
title_short	Fixed points and common fixed points theorems in pseudo-ordered sets
title_full	Fixed points and common fixed points theorems in pseudo-ordered sets
title_fullStr	Fixed points and common fixed points theorems in pseudo-ordered sets
title_full_unstemmed	Fixed points and common fixed points theorems in pseudo-ordered sets
title_sort	fixed points and common fixed points theorems in pseudo-ordered sets
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2013
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000400008
work_keys_str_mv	AT stoutiabdelkader fixedpointsandcommonfixedpointstheoremsinpseudoorderedsets AT maadenabdelhakim fixedpointsandcommonfixedpointstheoremsinpseudoorderedsets
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Fixed points and common fixed points theorems in pseudo-ordered sets

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