Contractive mappings in spaces with vector norm (Q2519124)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Contractive mappings in spaces with vector norm |
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Contractive mappings in spaces with vector norm (English)
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22 January 2009
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The paper deals with contractive mappings in vector spaces with vector norm, the values of which belong to a \(\sigma\)-complete vector lattice. The results extend the Banach fixed point theorem for differential equations, under the condition to retain the convergence of successive approximations to the unique solution.
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contractive mapping
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vector norm
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positive operator
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Banach lattice
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