Fixed point properties for semigroups of nonexpansive mappings (Q2753296)
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scientific article; zbMATH DE number 1667850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point properties for semigroups of nonexpansive mappings |
scientific article; zbMATH DE number 1667850 |
Statements
26 September 2002
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nonexpansive mappings
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semitopological semigroup
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common fixed points
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Fixed point properties for semigroups of nonexpansive mappings (English)
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Let \(S\) be a semitopological semigroup, \(C\) be a non-empty bounded closed weakly compact convex subset of a Banach space \(E\), \(S=\{T_s:s\in S\}\) be a continuous representation of \(S'\) as continuous mappings from \(C\) to \(C\), \(F(S)\) be the set of common fixed points for \(S\) in \(C\). In the present paper, the author proves some results dealing with the property \(F(S)\neq \emptyset\).NEWLINENEWLINEFor the entire collection see [Zbl 0969.00060].
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