Generalized contraction mapping principles in probabilistic metric spaces
type: Item
instance of: scholarly article
title: Generalized contraction mapping principles in probabilistic metric spaces
zbMATH Open document ID: 1050.47052
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 2004-09-07T00:00:00Z
review text: Let \((S,{\mathcal F}, T)\) be a complete Menger space and \(f:S\to S\) an operator. The authors give conditions which imply that \(f\) has a unique fixed point which is globally attractive. The case when \((S, {\mathcal F} , T)\) is a complete random normed space is also discussed. Some applications are given.
reviewed by: Ioan A. Rus
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47S50
zbMATH DE Number: 2099083
zbMATH Keywords: generalized probabilistic contraction mapping
zbMATH Keywords: probabilistic metric space
zbMATH Keywords: fixed point
zbMATH Keywords: triangular norm
zbMATH Keywords: random normed space
zbMATH Keywords: admissible subset
MaRDI profile type: Publication
DOI: 10.1023/B:AMHU.0000003897.39440.D8
description: scientific article; zbMATH DE number 2099083