Remarks on asymptotically nonexpansive mappings (Q1567527)
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scientific article; zbMATH DE number 1462152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Remarks on asymptotically nonexpansive mappings |
scientific article; zbMATH DE number 1462152 |
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Remarks on asymptotically nonexpansive mappings (English)
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8 March 2001
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It is known that the uniform convexity in every direction implies the existence of fixed points for a nonexpansive mapping \(T:C\to C\) if \(C\) is assumed to be weakly compact. It is still an open problem whether this is true for asymptotically nonexpansive mappings. The purpose of the paper is to present a partial answer to this question.
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asymptotically nonexpansive mapping
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fixed point
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uniform convexity in every direction
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