A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems (Q1029427)
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scientific article; zbMATH DE number 5577453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems |
scientific article; zbMATH DE number 5577453 |
Statements
A fixed-point theorem for S-type operators on Banach spaces and its applications to boundary-value problems (English)
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10 July 2009
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The main result of this paper is a fixed point theorem for an \(S\)-type completely continuous operator on a cone \(K\) in a Banach space. As an application, an existence result for positive solutions of two boundary value problems are given.
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fixed point theorem
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fixed point index
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operator equations
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positive solutions
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boundary value problems
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Banach space with a cone
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spectral radius
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0.9207897
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0.9061623
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0.9033217
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