The retractions onto the common fixed points of some families and semigroups of mappings (Q1026078)
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scientific article; zbMATH DE number 5569412
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The retractions onto the common fixed points of some families and semigroups of mappings |
scientific article; zbMATH DE number 5569412 |
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The retractions onto the common fixed points of some families and semigroups of mappings (English)
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24 June 2009
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Let \(C\) be a closed convex subset of a reflexive Banach space and \(\varphi : = (T_i)_{i \in I}\) be a family of self-mappings on \(C\) such that \(F(\varphi)\), the common fixed point set of \(\varphi\), is nonempty. The author gives some conditions under which there exists a retraction of type \((\gamma)\) from \(C\) onto \(F(\varphi)\). Some applications to find ergodic retractions for nonexpansive affine mappings are also given.
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amenable semigroups
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common fixed point
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mapping of type \((\gamma )\)
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nonexpansive mapping
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retraction
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weak limit
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