On the \((\alpha\text{-}\psi)\)-contractive mappings in \(C^\ast\)-algebra valued \(b\)-metric spaces and fixed point theorems

DOI10.1155/2021/7865976zbMath1477.54122OpenAlexW3198744290MaRDI QIDQ2666448

Publication date: 22 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/7865976

Mathematics Subject Classification ID

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

Cites Work

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Fixed point results in \(C^{*}\)-algebra-valued metric spaces are direct consequences of their standard metric counterparts
The class of \((\alpha,\psi)\)-type contractions in \(b\)-metric spaces and fixed point theorems
\(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems
\(C^{\ast}\)-algebra-valued \(b\)-metric spaces and related fixed point theorems
Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
Best proximity point results in \(b\)-metric space and application to nonlinear fractional differential equation
Some fixed point results on \(\mathcal{N}_b\)-cone metric spaces over Banach algebra
Generalized Darbo-type \(F\)-contraction and \(F\)-expansion and its applications to a nonlinear fractional-order differential equation
Fixed-point results for generalized \(\alpha\)-admissible Hardy-Rogers' contractions in cone \(\mathfrak{b}_2\)-metric spaces over Banach's algebras with application
\(C^*\)-algebra-valued partial metric space and fixed point theorems
Fixed point results for weakly α-admissible pairs
A short note on \(C^{*}\)-valued contraction mappings

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