Semi-asymptotic non-expansive actions of semi-topological semigroups (Q2787643)
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scientific article; zbMATH DE number 6550292
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-asymptotic non-expansive actions of semi-topological semigroups |
scientific article; zbMATH DE number 6550292 |
Statements
4 March 2016
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non-expansive mappings
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normal structure
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semi-topological semigroups
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amenable
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left reversible
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Semi-asymptotic non-expansive actions of semi-topological semigroups (English)
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The paper contains an extension of Takahashi's fixed point theorem on discrete semigroups to general semi-topological semigroups. The concept of the semi-asymptotic non-expansive action of semi-topological semigroups is defined. One of the main results is the following Corollary. Let \(K\) be a non-empty, compact convex subset of a Banach space \(E\) and \(S\) be an amenable discrete semigroup which acts on \(K\) separately continuous and left semi-asymptotic non-expensive. Then \(S\) has a common fixed point in \(K\).
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