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
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/308478
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