A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
type: Item
instance of: scholarly article
title: A fixed point theorem for multivalued mappings in probabilistic metric spaces and an application in fuzzy metric spaces
zbMATH Open document ID: 1002.54025
DOI: 10.1016/S0165-0114(01)00144-0
author: Olga Hadžić
author: Endre Pap
published in: Fuzzy Sets and Systems
publication date: 2002-07-11T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54A40
Mathematics Subject Classification ID: 54E70
zbMATH DE Number: 1766464
reviewed by: P. Veeramani
MaRDI profile type: Publication
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full work available at URL: s0165-0114(01)00144-0
OpenAlex ID: W1972202282
description: scientific article; zbMATH DE number 1766464