Nonconvex retracts and computation for fixed point index in cones (Q519413)
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scientific article; zbMATH DE number 6700623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonconvex retracts and computation for fixed point index in cones |
scientific article; zbMATH DE number 6700623 |
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Nonconvex retracts and computation for fixed point index in cones (English)
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4 April 2017
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The authors construct two nonconvex retracts of a real Banach space by nonnegative functionals defined on a cone of convex and concave types, with an example. Under (nonconvex) retract conditions, the fixed point index of a completely continuous operator on the sets \(D_1\cap D_2\) and \(D_1\cup D_2\) is computed, where \(D_1\) and \(D_2\) are bounded open sets in the cone. This can be used to show the existence of a positive fixed point in a more precise location.
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fixed point index
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retract
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completely continuous operator
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