Cone metric spaces and fixed point theorems of contractive mappings (Q884392)
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scientific article; zbMATH DE number 5161788
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cone metric spaces and fixed point theorems of contractive mappings |
scientific article; zbMATH DE number 5161788 |
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Cone metric spaces and fixed point theorems of contractive mappings (English)
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6 June 2007
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The authors introduce the notion of a cone metric space \((X,d)\). In the classical definition of a metric space they replace the set of real numbers by a Banach space \(E\) ordered by a solid cone \(P\). They discuss properties of cone metric spaces and prove some fixed point theorems for mappings satisfying contractive conditions with respect to a cone metric \(d\).
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cone metric space
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fixed point
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contractive mapping
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ordered Banach space
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