\(C^*\)-algebra-valued partial metric space and fixed point theorems

DOI10.1007/S12044-019-0481-0OpenAlexW2939373812MaRDI QIDQ2422789

Deepak Kumar, Sumit Chandok, Chun-Gil Park

Publication date: 21 June 2019

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-019-0481-0

zbMATH Keywords

fixed point\(C_{*}\)-class function\(C^*\)-algebra-valued partial metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of (C^*)-algebras (46L05)

Related Items (8)

Suzuki type multivalued contractions in \(C^\ast\)-algebra valued metric spaces with an application ⋮ On the \((\alpha\text{-}\psi)\)-contractive mappings in \(C^\ast\)-algebra valued \(b\)-metric spaces and fixed point theorems ⋮ Common coupled fixed point theorems on \(C^\star\)-algebra-valued partial metric spaces ⋮ \(\alpha\)-admissible mapping in \(C^*\)-algebra-valued b-metric spaces and fixed point theorems ⋮ On existence of fixed points and applications to a boundary value problem and a matrix equation in \(C^\ast\)-algebra valued partial metric spaces ⋮ Unnamed Item ⋮ $C^*$-algebra valued symmetric spaces and fixed point results with an application ⋮ Solving an integral equation via \(\mathscr{C}^{\star}\)-algebra-valued partial \(b\)-metrics

Cites Work

• \(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems
• \(C^{\ast}\)-algebra-valued \(b\)-metric spaces and related fixed point theorems
• \(\mathcal {JHR}\)-operator pairs in \(C^{*}\)-algebra-valued modular metric spaces and related fixed point results via \(C_{*}\)-class functions
• Fixed points of \(IA\)-endomorphisms of a free metabelian Lie algebra
• New approach for common fixed point theorems via \(C\)-class functions in \(G_p\)-metric spaces
• Partial Metric Topology
• Unnamed Item
• Unnamed Item

This page was built for publication: \(C^*\)-algebra-valued partial metric space and fixed point theorems