Fixed and periodic points under set-valued mappings (Q1116488)
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scientific article; zbMATH DE number 4090356
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed and periodic points under set-valued mappings |
scientific article; zbMATH DE number 4090356 |
Statements
Fixed and periodic points under set-valued mappings (English)
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1988
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Let (X,d) be a metric space and F be a set-valued mapping with compact values, such that \(D(F_ x,F_ y)<d(x,y)\) for all \(x,y\in X\), \(x\neq y\). (D is the Hausdorff metric induced by d). If, in addition, F satisfies some local conditions, then F has a fixed point.
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contractive local conditions
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