Related fixed points for set valued mappings on two metric spaces (Q1567235)
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scientific article; zbMATH DE number 1455557
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Related fixed points for set valued mappings on two metric spaces |
scientific article; zbMATH DE number 1455557 |
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Related fixed points for set valued mappings on two metric spaces (English)
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12 March 2001
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Let \((X,d_1)\), \((Y,d_2)\) be two metric spaces and \(F:X\to B(Y)\), \(G:Y \to B(X)\) two set-valued mappings. The authors give some metric conditions which imply that the mappings \(F\circ G\), \(G\circ F\) have unique fixed points. Reviewer's remark: throughout in this paper \(B(X)\) is the set of all nonempty bounded subsets of \(X\).
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