On some algorithms in Banach spaces finding fixed points of nonlinear mappings (Q1029434)
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scientific article; zbMATH DE number 5577460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some algorithms in Banach spaces finding fixed points of nonlinear mappings |
scientific article; zbMATH DE number 5577460 |
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On some algorithms in Banach spaces finding fixed points of nonlinear mappings (English)
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10 July 2009
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A modification of the hybrid method in mathematical programming is used to give new algorithms to find fixed points of mappings in Banach spaces which are in some sense non-expansive. The results obtained apply in reflexive, strictly convex and smooth Banach spaces having the Kadeč--Klee property.
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generalized projection
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non-expansive mapping
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relatively non-expansive mapping
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quasi-non-expansive mappings
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hybrid algorithm
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fixed point
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the Kadeč-Klee property
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