Common fixed points theorems in \(\alpha\)-fuzzy ordered sets. (English) Zbl 1131.54033

Stouti, Abdelkader

J. Fuzzy Math. 15, No. 3, 655-663 (2007).

The author proves the existence of a maximal and a minimal common fixed point for a commutative family of \(\alpha\)-fuzzy monotone selfmaps of an \(\alpha\)-fuzzy ordered set. Related results can be found in previous papers of the same author [e.g., ibid. 11, No. 2, 455–466 (2003; Zbl 1108.06008); Arch. Math., Brno 39, No. 3, 209–212 (2003; Zbl 1108.03312)].

Reviewer: Salvatore Sessa (Napoli)

MSC:

54H25	Fixed-point and coincidence theorems (topological aspects)
03E72	Theory of fuzzy sets, etc.

Keywords:

fuzzy ordered set; fuzzy monotone map

Citations:

Zbl 1108.06008; Zbl 1108.03312