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

In this paper we shall generalize a fixed point theorem for multivalued mappings in probabilistic metric spaces proved in (J. Math. Anal. Appl. 202 (1996) 433-449). As a corollary a fixed point result in Menger spaces (S, F, T), where T is a strict t-norm, is obtained. Some special cases, where T is a member of Dombi, Schweizer-Sklar and Aczel-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented. (C) 2002 Elsevier Science B.V. All rights reserved.