Examples of fixed point free mappings (Q2761627)
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scientific article; zbMATH DE number 1686043
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Examples of fixed point free mappings |
scientific article; zbMATH DE number 1686043 |
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7 January 2002
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fixed point free mappings
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convex subset
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Banach space
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Examples of fixed point free mappings (English)
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It is well-known that a nonexpansive selfmap of a convex subset \(C\) of a Banach space need not have a fixed point, even if \(C\) is in addition closed and bounded, or weakly compact, or weakly-\(*\) compact. In this interesting survey, the author illustrates this for the Banach spaces \(c_0\), \(\ell_1\), \(L_1\), and others.NEWLINENEWLINEFor the entire collection see [Zbl 0970.54001].
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