Be careful on partial metric fixed point results
type: Item
instance of: scholarly article
title: Be careful on partial metric fixed point results
zbMATH Open document ID: 1267.54044
author: Sh. Rezapour
author: Nazeer Shahzad
author: R. H. Haghi
published in: Topology and its Applications
publication date: 2013-02-27T00:00:00Z
review text: Let \((X,p)\) be a partial metric space. Then the functional \(d: X \times X \to \mathbb R_+\) defined by \(d(x,y) = 0\) whenever \(x = y\) and \(d(x,y) = p(x,y) \) whenever \(x \neq y\), is a metric on \(X\). In this paper the authors show that some fixed point generalization to \((X,p)\) can be obtained from the corresponding results in \((X,d)\).
reviewed by: Ioan A. Rus
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54A10
Mathematics Subject Classification ID: 54E99
zbMATH DE Number: 6139360
zbMATH Keywords: partial metric space
zbMATH Keywords: 0-complete
zbMATH Keywords: generalized contraction
zbMATH Keywords: fixed point
MaRDI profile type: Publication
full work available at URL: j.topol.2012.11.004
OpenAlex ID: W2074985118
DOI: 10.1016/J.TOPOL.2012.11.004
description: scientific article; zbMATH DE number 6139360