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

• Stouti, Abdelkader ^[1] ; Maaden, Abdelhakim ^[1]
  1. [1] Université Sultan Moulay Slimane

     Université Sultan Moulay Slimane

     Alkhalfia, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 4, 2013, págs. 409-418
• Idioma: inglés
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• Resumen

  • 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.