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

Authors:
Olga Hadžić;Endre Pap
Affiliations:
Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, Yu-21000 Novi Sad, Yugoslavia;Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Novi Sad, Trg Dositeja Obradovica 4, Yu-21000 Novi Sad, Yugoslavia
Venue:
Fuzzy Sets and Systems - Mathematics
Year:
2002

Citing 7
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Abstract

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 Aczél-Alsina families of t-norms, are investigated. An application in fuzzy metric spaces is presented.