zbMATH — the first resource for mathematics

Common fixed points of maps on fuzzy metric spaces. (English) Zbl 0798.54014
In accordance to the approach of M. Grabiec [Fuzzy Sets Systems 27, 385-389 (1988; Zbl 0664.54032)], the authors establish some common fixed point theorems in fuzzy metric spaces for compatible maps in the sense of Jungck.
Reviewer’s remark: the contractive conditions used involve a continuous triangular norm \(*\) such that \(t*t\geq t\), \(t\in [0,1]\). Since one always has \(t\geq t*t\) for any \(t\in [0,1]\), it seems that the norm \(*\) must be necessarily min.
Reviewer: S.Sessa (Napoli)

54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
54E99 Topological spaces with richer structures
Full Text: DOI EuDML