## 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.

### Keywords:

fuzzy ordered set; fuzzy monotone map

### Citations:

Zbl 1108.06008; Zbl 1108.03312