A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces (Q1605085)

In [J. Math. Anal. Appl. 202, No. 2, 433-449 (1996; Zbl 0855.54043)], \textit{E. Pap}, \textit{O. Hadžić}, and \textit{R. Mesiar} introduced a type of contraction map known as \(C\)-contraction to prove some fixed point theorems in Menger spaces. In this paper the authors further extend the results of Pap-Hadžić-Mesiar to Menger spaces having more general types of \(t\)-norms. The authors also introduce another type of multivalued contraction to prove fixed point theorems on fuzzy metric spaces. This paper also contains some interesting examples.