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

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)].

MSC:

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