\(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems (Q1989829)
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scientific article; zbMATH DE number 6967287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems |
scientific article; zbMATH DE number 6967287 |
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\(C^\ast\)-algebra-valued \(G\)-metric spaces and related fixed-point theorems (English)
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29 October 2018
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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.
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