On common fixed and periodic points of commuting functions (Q1384242)
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scientific article; zbMATH DE number 1140269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On common fixed and periodic points of commuting functions |
scientific article; zbMATH DE number 1140269 |
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On common fixed and periodic points of commuting functions (English)
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18 January 1999
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Continuous commuting selfmaps of \([0,1]\) are considered. It is known that they need not have a common fixed point. However, there is an open problem if they have a common periodic point. Although the paper does not solve this problem, it gives some useful results in this direction and also a condition under which two continuous functions must have a unique common fixed point.
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minimal sets
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common fixed point
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common periodic point
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