\(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems
type: Item
instance of: scholarly article
title: \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems
DOI: 10.1155/2018/3257189
author: Congcong Shen
author: Lining Jiang
author: Zhenhua Ma
published in: Journal of Function Spaces
publication date: 2018-10-29T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 46L05
zbMATH DE Number: 6967287
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/3257189
OpenAlex ID: W2878480569
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description: scientific article; zbMATH DE number 6967287