Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces (Q855459)
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scientific article; zbMATH DE number 5077917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces |
scientific article; zbMATH DE number 5077917 |
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Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces (English)
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7 December 2006
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By using viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces, the author obtains sufficient and necessary conditions for the iterative sequence \( x_{n+1} = \alpha _{n+1}f(x_{n}) + (1 - \alpha _{n+1})T_{n+1}x_{n}\) to converge strongly to a common fixed point of the family. His statements extend and improve some recent results.
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finite family of nonexpansive maps
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common fixed points
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viscosity approximation method
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strong convergence
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uniformly smooth Banach space
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