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The uniqueness of fixed points for decreasing operators. - MaRDI portal

The uniqueness of fixed points for decreasing operators. (Q1767137)

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scientific article; zbMATH DE number 2140755
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English
The uniqueness of fixed points for decreasing operators.
scientific article; zbMATH DE number 2140755

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    The uniqueness of fixed points for decreasing operators. (English)
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    7 March 2005
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    The author presents a necessary and sufficient condition for a decreasing operator to have at most one fixed point. This result is employed to derive uniqueness criteria for a discontinuous Cauchy problem for an ordinary differential equation as well as for a periodic second order boundary value problem.
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    fixed point
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    decreasing operator
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    directed set
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