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Intermediate values and fixed points for real functions (Q1339051)

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scientific article; zbMATH DE number 698830
Language Label Description Also known as
English
Intermediate values and fixed points for real functions
scientific article; zbMATH DE number 698830

    Statements

    Intermediate values and fixed points for real functions (English)
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    19 January 1997
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    The following result (and generalizations) are offered. The function \(f + g : [a,b] \to [a,b]\) (or \(R \to ]a,b[)\) has a fixed point if \(f\) is continuous and \(g\) is increasing.
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    fixed points
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    intermediate values
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    continuous functions
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    increasing functions
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    lower and upper limits
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