Fixed points theorems for monotone set-valued maps in pseudo-ordered sets

Stouti, Abdelkader (2015) Fixed points theorems for monotone set-valued maps in pseudo-ordered sets. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 31 (2). pp. 187-194. ISSN 0866-0174

Preview

Text 31_16.pdf Download (87kB) | Preview

Abstract

In this paper, we first establish the existence of the greatest and the least fixed points for monotone set-valued maps defined on non-empty pseudo-ordered sets. Furthermore, we prove that the set of all fixed points of two classes of monotone set-valued maps defined on a non-empty complete trellis is also a non-empty complete trellis. As a consequence we obtain a generalization of the Skala's result [Theorem 37. Skala, Helen. Trellis theory. Memoirs of the American Mathematical Society, No. 121. American Mathematical Society, Providence, R.I. MR0325474 (48 #3821)].

Actions (login required)

Edit Item