Strong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappings (Q1004181)
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scientific article; zbMATH DE number 5522176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappings |
scientific article; zbMATH DE number 5522176 |
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Strong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappings (English)
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2 March 2009
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The following iterative procedure is studied \[ x_{n+1}=\alpha_{n}f(x_{n})+\beta_{n}x_{n}+(1-\alpha_{n}-\beta_{n})W_{n}x_{n} \] where \(x_{0}\) is arbitrary. The authors prove that if \(f\) is contractive and some other conditions are fulfilled the sequence \(x_{n}\) converges strongly to the solution of a variational inequality.
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strong convergence
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iterative algorithm
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infinite countable family of nonexpansive mappings
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common fixed point
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variational inequality
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0.95741343
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0.9563113
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0.94359946
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0.9431141
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