New iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappings (Q1609072)
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scientific article; zbMATH DE number 1781484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappings |
scientific article; zbMATH DE number 1781484 |
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New iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappings (English)
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15 August 2002
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Firstly, the approximation of the unique fixed point to a multivalued \(\phi\)-strongly pseudocontractive mapping is considered. The authors present convergence results for a new so-called Ishikawa iteration with errors. Then, convergence results for the iterative solution of nonlinear equations in a Banach space with a multivalued \(\phi\)-strongly accretive mapping are proved.
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Banach space
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multivalued mapping
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nonlinear operator equation
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accretive operator
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contractivity
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Ishikawa iteration with errors
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convergence
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0.9194095
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0.90366143
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