Discontinuity and fixed points
type: Item
instance of: scholarly article
title: Discontinuity and fixed points
zbMATH Open document ID: 0938.54040
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-03-19T00:00:00Z
review text: The author gives a fixed point theorem for a self-map of a metric space \((X,d)\) under a contractivity condition which does not force the map to be continuous at the fixed point. He also gives a common fixed point theorem for two self-mappings \(f,g\) which satisfy a contractivity condition and moreover are ``weakly commuting'', i.e. there exists some positive real number \(R\) such that \(d(ffx, gfx)\leq R\cdot d(fx,gx)\).
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 1398609
zbMATH Keywords: contractivity condition
author: R. P. Pant
reviewed by: Delfina Roux
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6560
OpenAlex ID: W1984781556
cites work: Common fixed point theorems for some families of maps
cites work: Compatible mapping and common fixed points
cites work: Q5610908
cites work: Common fixed points of noncommuting mappings
cites work: Common fixed point theorems for contractive maps
cites work: Q4351512
cites work: Q3794884
DOI: 10.1006/JMAA.1999.6560
description: scientific article; zbMATH DE number 1398609