Common fixed point theorems for a class of twice power type contraction maps in \(G\)-metric spaces
type: Item
instance of: scholarly article
title: Common fixed point theorems for a class of twice power type contraction maps in \(G\)-metric spaces
zbMATH Open document ID: 1246.54052
DOI: 10.1155/2012/736214
author: Hongqing Ye
author: Feng Gu
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: We introduce a new twice power type contractive condition for three mappings in \(G\)-metric spaces, and several new common fixed point theorems are established in complete \(G\)-metric space. An example is provided to support our result. The results obtained in this paper differ from other comparable results already known.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6078797
zbMATH Keywords: common fixed point theorems
zbMATH Keywords: twice power type contraction maps
zbMATH Keywords: \(G\)-metric spaces
Wikidata QID: Q58696690
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/736214
OpenAlex ID: W2024096549
cites work: Q3410667
cites work: Common fixed point results for noncommuting mappings without continuity in generalized metric spaces
cites work: Some fixed point theorem for mapping on complete \(G\)-metric spaces
cites work: Existence of fixed point results in \(G\)-metric spaces
cites work: Fixed point theorems for contractive mappings in complete \(G\)-metric spaces
cites work: Q3095944
cites work: A Fixed Point Theorem of Reich in G-Metric Spaces
cites work: Fixed point results on complete G-metric spaces
cites work: Q3095955
cites work: Fixed point theory for contractive mappings satisfying \(\Phi \)-maps in G-metric spaces
cites work: Property P in G-metric spaces
cites work: Some periodic point results in generalized metric spaces
cites work: Fixed point results on a nonsymmetric \(G\)-metric spaces
cites work: Common fixed point results for three maps in G-metric spaces
cites work: Common fixed point results for three maps in generalized metric space
cites work: Q3105344
cites work: A fixed point result for mappings with contractive iterate at a point in \(G\)-metric spaces
cites work: Q3105354
cites work: Q5254298
cites work: Common fixed points of \(R\)-weakly commuting maps in generalized metric spaces
cites work: On generalized weakly \(G\)-contraction mapping in \(G\)-metric spaces
cites work: Q3099648
cites work: Coupled common fixed point results in two generalized metric spaces
cites work: Common fixed point theorems for contractive mappings satisfying \(\Phi\)-maps in \(G\)-metric spaces
cites work: Common fixed point of mappings satisfying (E.A) property in generalized metric spaces
cites work: Fixed point theorems in generalized partially ordered G-metric spaces
cites work: Coupled fixed point results in generalized metric spaces
cites work: Coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spaces
cites work: Coupled fixed point theorems in partially ordered \(G\)-metric spaces
cites work: Common coupled fixed point theorems in cone metric spaces for \(w\)-compatible mappings
cites work: GENERALIZED CONE METRIC SPACES
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description: scientific article; zbMATH DE number 6078797