The Banach contraction principle in \(C^{*}\)-algebra-valued \(b\)-metric spaces with application

DOI10.1186/s13663-015-0486-zzbMath1347.54089OpenAlexW2239234909WikidataQ59480569 ScholiaQ59480569MaRDI QIDQ269957

Tayyab Kamran, Mihai Postolache, Samina Batul, Adrian Ghiura, Rashid Ali

Publication date: 6 April 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0486-z

zbMATH Keywords

Banach contraction principle\(C^{*}\)-algebra-valued \(b\)-metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (13)

Fixed point results in \(C^{*}\)-algebra-valued metric spaces are direct consequences of their standard metric counterparts ⋮ Fixed point results for single and multivalued maps on partial extended \(b\)-metric spaces ⋮ Fuzzy fixed point results of fuzzy mappings on \(b\)-metric spaces via \((\alpha_\ast, F)\)-contractions ⋮ C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems ⋮ FIXED POINT RESULT FOR A CLASS OF EXTENDED INTERPOLATIVE CIRIC-REICH-RUS (α, β, γF)-TYPE CONTRACTIONS ON UNIFORM SPACES ⋮ 𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\mathcal {JHR}\)-operator pairs in \(C^{*}\)-algebra-valued modular metric spaces and related fixed point results via \(C_{*}\)-class functions ⋮ A short note on \(C^{*}\)-valued contraction mappings ⋮ Coupled fixed point theorems in \(C^{\ast}\)-algebra-valued \(b\)-metric spaces with application ⋮ \(C^*\)-algebra valued fuzzy soft metric spaces and results for hybrid pair of mappings ⋮ Geraghty type contractions in fuzzy b-metric spaces with application to integral equations

Cites Work

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• \(C^{\ast}\)-valued contractive type mappings
• \(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems
• Some equivalences between cone \(b\)-metric spaces and \(b\)-metric spaces
• Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces
• Fixed point theorems in E--b--metric spaces
• Fixed Point Theory in Distance Spaces
• Fuzzy fixed point theorems for multivalued fuzzy contractions in b -metric spaces
• \(C^*\)-algebras by example

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