Convergence of path and approximation of common element of null spaces of countably infinite family of \(m\)-accretive mappings in uniformly convex Banach spaces (Q963533)
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scientific article; zbMATH DE number 5695233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of path and approximation of common element of null spaces of countably infinite family of \(m\)-accretive mappings in uniformly convex Banach spaces |
scientific article; zbMATH DE number 5695233 |
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Convergence of path and approximation of common element of null spaces of countably infinite family of \(m\)-accretive mappings in uniformly convex Banach spaces (English)
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20 April 2010
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Summary: We prove path convergence theorems and introduce a new iterative sequence for a countably infinite family of \(m\)-accretive mappings and prove strong convergence of the sequence to a common zero of these operators in uniformly convex real Banach space. Consequently, we obtain strong convergence theorems for a countably infinite family of pseudocontractive mappings.
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path convergence
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\(m\)-accretive mappings
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strong convergence
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uniformly convex
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real Banach space
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pseudocontractive mappings
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