\(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems
Summary: We introduce the notion of the \(C^\ast\)-algebra-valued \(G\)-metric space. The existence and uniqueness of some fixed-point theorems for self-mappings with contractive or expansive conditions on complete \(C^\ast\)-algebra-valued \(G\)-metric spaces are proved. As an application, we prove the existence and uniqueness of the solution of a type of differential equations.
scientific article; zbMATH DE number 6967287
scientific article