Fixed point results in \(C^{*}\)-algebra-valued metric spaces are direct consequences of their standard metric counterparts

DOI10.1186/s13663-016-0544-1zbMath1345.54051OpenAlexW2336872469WikidataQ59464376 ScholiaQ59464376MaRDI QIDQ284902

Zoran Kadelburg, Stojan Radenović

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-016-0544-1

zbMATH Keywords

\(b\)-metric space\(C^{*}\)-algebra\(C^{*}\)-algebra-valued metric spacecone metric space over Banach algebra

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (8)

On the \((\alpha\text{-}\psi)\)-contractive mappings in \(C^\ast\)-algebra valued \(b\)-metric spaces and fixed point theorems ⋮ \(\alpha\)-admissible mapping in \(C^*\)-algebra-valued b-metric spaces and fixed point theorems ⋮ Unnamed Item ⋮ On existence of fixed points and applications to a boundary value problem and a matrix equation in \(C^\ast\)-algebra valued partial metric spaces ⋮ 𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application ⋮ Tripled random coincidence point and common fixed point results of generalized Lipschitz mappings in cone b-metric spaces over Banach algebras ⋮ \(\mathcal {JHR}\)-operator pairs in \(C^{*}\)-algebra-valued modular metric spaces and related fixed point results via \(C_{*}\)-class functions ⋮ \(C^*\)-algebra valued fuzzy soft metric spaces and results for hybrid pair of mappings

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