Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations (Q700057)
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scientific article; zbMATH DE number 1809632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations |
scientific article; zbMATH DE number 1809632 |
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Fixed point results for compact maps on closed subsets of Fréchet spaces and applications to differential and integral equations (English)
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28 November 2002
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Building on a continuation principle of Leray-Schauder-Nagumo type, the author proves a fixed point theorem for compact maps on closed subsets of Fréchet spaces. Applications to initial value problems on unbounded intervals, infinite systems of differential equations, and Fredholm integral equations are given as well.
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continuation principle
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fixed point theorem
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compact maps
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Fréchet spaces
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initial value problems
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Fredholm integral equations
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