Existence and uniqueness theorems of ordered contractive map in Banach lattices (Q1938134)
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scientific article; zbMATH DE number 6134033
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness theorems of ordered contractive map in Banach lattices |
scientific article; zbMATH DE number 6134033 |
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Existence and uniqueness theorems of ordered contractive map in Banach lattices (English)
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4 February 2013
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Summary: This paper presents some existence and uniqueness theorems of the fixed point for ordered contractive mappings in Banach lattices. Moreover, we prove the existence of a unique solution for first-order ordinary differential equations with initial value conditions by using the theoretical results with no need for using the condition of a lower solution or an upper solution.
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ordered contractive mappings
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Banach lattices
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existence
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uniqueness
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fixed point
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