An extension of a well known theorem of R. DeMarr [Common fixed points for isotone mappings, Colloquium Math., 13 (1964), 45-48] for commuting families of increasing operators in posets is studied and we establish two corollaries concerning semilattice properties of the set of their common fixed points.
Common fixed points for increasing operators in posets and related semilattice properties / Diviccaro, MARIA LUIGIA; Sessa, Salvatore. - In: INTERNATIONAL MATHEMATICAL FORUM. - ISSN 1312-7594. - STAMPA. - 3:43(2008), pp. 2123-2128.
Common fixed points for increasing operators in posets and related semilattice properties
DIVICCARO, MARIA LUIGIA;SESSA, SALVATORE
2008
Abstract
An extension of a well known theorem of R. DeMarr [Common fixed points for isotone mappings, Colloquium Math., 13 (1964), 45-48] for commuting families of increasing operators in posets is studied and we establish two corollaries concerning semilattice properties of the set of their common fixed points.File in questo prodotto:
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