Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space (Q1195632)
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scientific article; zbMATH DE number 85833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space |
scientific article; zbMATH DE number 85833 |
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Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space (English)
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6 January 1993
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The authors give conditions under which the Ishikawa iterates \[ x_{n+1}=(1-\alpha_ n)x_ n+\alpha_ n T[(1-\beta_ n)x_ n+\beta_ n Tx_ n] \] (\(0<a\leq\alpha_ n\leq b<1\), \(0\leq\beta_ n\leq c<1\)) converge to the unique fixed point of the quasi-nonexpansive map \(T\).
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Ishikawa iterates
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fixed point
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quasi-nonexpansive map
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