Furi-Pera fixed point theorems for nonexpansive maps in Banach spaces (Q2873963)
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scientific article; zbMATH DE number 6251061
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Furi-Pera fixed point theorems for nonexpansive maps in Banach spaces |
scientific article; zbMATH DE number 6251061 |
Statements
28 January 2014
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fixed point
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nonexpansive maps
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1-set-contraction
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demi-closed maps
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Kuratowski measure of noncompactness
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0.9611615
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0.9405285
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0.9383925
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0.9380039
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Furi-Pera fixed point theorems for nonexpansive maps in Banach spaces (English)
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The authors prove some fixed point theorems for nonexpansive maps, 1-set-contractions and demi-closed nonexpansive perturbations of nonexpansive maps defined on closed convex subsets of Banach spaces. A significant contribution is that the subsets are not necessarily bounded. The proofs are based on the Kuratowski measure of noncompactness and a compactness result for the approximate fixed point set. Applications to Banach algebras and to integral equations are given.
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