The fuzzy Brouwer fixed-point theorem (Q1269589)
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scientific article; zbMATH DE number 1215661
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fuzzy Brouwer fixed-point theorem |
scientific article; zbMATH DE number 1215661 |
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The fuzzy Brouwer fixed-point theorem (English)
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2 March 1999
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It is proved that the Brouwer fixed-point theorem continues to hold for Hutton's \(L\)-cubes (with finite or countably many factors) provided that \(L\) is a completely distributive lattice with a countable base. It is worthwhile to point out that in a forthcoming paper by the author and the reviewer [Fuzzy Sets Systems, 1999] it is proved that the conclusion continues to be true for any cube of Hutton's \(L\)-interval \(I(L)\) for any completely distributive lattice \(L\).
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Brouwer fixed-point theorem
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Hutton's \(L\)-cubes
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Hutton's \(L\)-interval
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0.94436926
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0.92774045
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0.92774045
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0.92774045
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0.92774045
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0.9277402
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0.9202548
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