Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings (Q867837)
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scientific article; zbMATH DE number 5128003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings |
scientific article; zbMATH DE number 5128003 |
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Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings (English)
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19 February 2007
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The aim of this interesting paper is to construct an iterative sequence which converges strongly to a common solution of the equations \(A_i(x)=0\), for \(i\in \{1,2,\dots, r \}\), where \(A_i\) is a family of \(m\)-accretive operators on a nonempty closed convex subset \(K\) of a strictly convex Banach space \(E\) with a uniformly Gâteaux differentiable norm. The case of the common fixed point of a finite family of pseudocontractive mappings is also considered.
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accretive operator
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pseudocontractive mapping
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weakly compact set
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strong convergence
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0.95362425
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0.9461038
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0.9377533
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0.9373399
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