$C^{\ast}$-algebra-valued metric spaces and related fixed point theorems

DOI10.1186/1687-1812-2014-206zbMath1345.54062OpenAlexW2113953702WikidataQ59324588 ScholiaQ59324588MaRDI QIDQ288083

Lining Jiang, Zhenhua Ma, Hongkai Sun

Publication date: 24 May 2016

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-206

zbMATH Keywords

fixed point theorem $C^{\ast}$-algebra contractive mapping $C^{\ast}$-algebra-valued metric expansive mapping

Mathematics Subject Classification ID

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

Related Items (44)

The Banach contraction principle in $C^{*}$-algebra-valued $b$-metric spaces with application ⋮ Fixed point results in $C^{*}$-algebra-valued metric spaces are direct consequences of their standard metric counterparts ⋮ Common fixed point theorems for generalized $k$-ordered contractions and $B$-contractions on noncommutative Banach spaces ⋮ $C^{\ast}$-valued contractive type mappings ⋮ $C^{\ast}$-algebra-valued $b$-metric spaces and related fixed point theorems ⋮ Suzuki type multivalued contractions in $C^\ast$-algebra valued metric spaces with an application ⋮ C*-algebra valued quasi metric spaces and fixed point results with an application ⋮ $C^\ast$-algebra valued modular $S$-metric spaces with applications in fixed point theory ⋮ C^{∗}-algebra-valued rectangular b-metric spaces and some fixed point theorems ⋮ Unnamed Item ⋮ $C^*$-algebra-valued modular spaces and fixed point theorems ⋮ 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 ⋮ Fuzzy fixed point results in convex $C^\ast$-algebra-valued metric spaces ⋮ Conditionally positive definite kernels in Hilbert $C^*$-modules ⋮ Existence of fixed points via $C^\ast$-algebra-valued simulation functions with applications ⋮ Unnamed Item ⋮ $C^*$-algebra-valued partial metric space 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 ⋮ Common Fixed Point Results in C ∗ -Algebra Valued b-Metric Spaces Via Digraphs ⋮ Coincidence Point Results for Different Types of $ H_b^{+} $-contractions on $m_b$-Metric Spaces ⋮ On Completion of \textit{C}*-algebra-valued metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ 𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Determination of the Some Results for Coupled Fixed Point Theory in C*-Algebra Valued Metric Spaces ⋮ $\mathcal {JHR}$-operator pairs in $C^{*}$-algebra-valued modular metric spaces and related fixed point results via $C_{*}$-class functions ⋮ $C^\ast$-algebra-valued $G$-metric spaces and related fixed-point theorems ⋮ Sequential extended $S$-metric spaces and relevant fixed point results with application to nonlinear integral equations ⋮ An extended $b$-metric-type space and related fixed point theorems with an application to nonlinear integral equations ⋮ A tripled fixed point theorem in $C^\ast $-algebra-valued metric spaces and application in integral equations ⋮ On $I$ and $I^*$-Cauchy conditions in $C^*$-algebra valued metric spaces ⋮ $C^*$-algebra valued symmetric spaces and fixed point results with an application ⋮ Fixed point theorems for cyclic contractions in $C^\ast$-algebra-valued $b$-metric spaces ⋮ A short note on $C^{*}$-valued contraction mappings ⋮ $C^*$-algebra valued fuzzy soft metric spaces and results for hybrid pair of mappings ⋮ Fixed points of mappings over a locally convex topological vector space and Ulam-Hyers stability of fixed point problems ⋮ Best proximity point results for generalized $\Theta$-contractions and application to matrix equations ⋮ Solving an integral equation via $\mathscr{C}^{\star}$-algebra-valued partial $b$-metrics ⋮ $C^{*}$-valued $G$-contractions and fixed points

Cites Work

This page was built for publication: $C^{\ast}$-algebra-valued metric spaces and related fixed point theorems

\(C^{\ast}\)-algebra-valued metric spaces and related fixed point theorems