Resumen

STOUTI, Abdelkader  y  MAADEN, Abdelhakim. Fixed points and common fixed points theorems in pseudo-ordered sets. Proyecciones (Antofagasta) [online]. 2013, vol.32, n.4, pp.409-418. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172013000400008.

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.

Palabras clave : Pseudo-ordered set; fixed point; monotone map; complete trellis.

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