A unification of \(G\)-metric, partial metric, and \(b\)-metric spaces
type: Item
instance of: scholarly article
title: A unification of \(G\)-metric, partial metric, and \(b\)-metric spaces
zbMATH Open document ID: 1468.54019
DOI: 10.1155/2014/180698
author: Nawab Hussain
author: Jamal Rezaei Roshan
author: Vahid Parvaneh
author: A. Latif
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: Using the concepts of \(G\)-metric, partial metric, and \(b\)-metric spaces, we define a new concept of generalized partial \(b\)-metric space. Topological and structural properties of the new space are investigated and certain fixed point theorems for contractive mappings in such spaces are obtained. Some examples are provided here to illustrate the usability of the obtained results.
Mathematics Subject Classification ID: 54E35
zbMATH DE Number: 7021881
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/180698
OpenAlex ID: W2059396606
Wikidata QID: Q59035814
cites work: Q4884981
cites work: Q4225413
cites work: Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
cites work: A common fixed point for weak \(\varphi \)-contractions on \(b\)-metric spaces
cites work: A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
cites work: Q3090603
cites work: Q3653405
cites work: Suzuki-type fixed point results in metric type spaces
cites work: KKM mappings in cone \(b\)-metric spaces
cites work: KKM mappings in metric type spaces
cites work: Remarks on cone metric spaces and fixed point theorems of contractive mappings
cites work: Sequences of almost contractions and fixed points in \(b\)-metric spaces
cites work: Q2938909
cites work: Q3410667
cites work: Common fixed point of generalized weak contractive mappings in partially ordered Gb-metric spaces
cites work: Partial Metric Topology
cites work: Q5173041
cites work: Fixed point results under various contractive conditions in partial metric spaces
cites work: Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces
cites work: Common fixed point of mappings satisfying almost generalized \((S,T)\)-contractive condition in partially ordered partial metric spaces
cites work: Some periodic point results in generalized metric spaces
cites work: Coupled fixed point results in complete partial metric spaces
cites work: Generalized contractions on partial metric spaces
cites work: Common fixed points of generalized contractions on partial metric spaces and an application
cites work: Property \(P\) and some fixed point results on \((\psi, \phi)\)-weakly contractive \(G\)-metric spaces
cites work: Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
cites work: Q5716726
cites work: Q5121577
cites work: Existence of tripled coincidence points in ordered \(b\)-metric spaces and an application to a system of integral equations
cites work: Partial b-metric spaces and fixed point theorems
cites work: Some common fixed point results in ordered partial b-metric spaces
cites work: On Contractive Mappings
cites work: Fixed points of Geraghty-type mappings in various generalized metric spaces
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description: scientific article; zbMATH DE number 7021881