Common fixed points for commuting Cournot maps. (Q595854)
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scientific article; zbMATH DE number 2084025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common fixed points for commuting Cournot maps. |
scientific article; zbMATH DE number 2084025 |
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Common fixed points for commuting Cournot maps. (English)
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6 August 2004
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The author studies the existence of common fixed points of two commuting Cournot maps on \([0,1]^2\). Extensions of results by \textit{J. R. Jachymski} [Proc. Am. Math. Soc. 124, 3229--3233 (1996; Zbl 0881.54043)] and \textit{G. F. Jungck} [Proc. Am. Math. Soc. 115, 495--499 (1992; Zbl 0771.54037)] to the Cournot case are given.
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commuting functions
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periodic points
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common fixed point
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Cournot maps
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Jungck's theorem
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