Iterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces. (Q1416421)
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scientific article; zbMATH DE number 2017213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces. |
scientific article; zbMATH DE number 2017213 |
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Iterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces. (English)
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14 December 2003
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Suppose that \(X\) is a uniformly smooth Banach space and \(T:X \rightarrow X\) is a demicontinuous \(\phi\)-strongly accretive operator. It is proved that the Ishikawa iterative sequence with errors converges strongly to the solutions of the equations \(f=Tx\) and \(f=x+Tx\), respectively.
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\(\phi\)-strongly accretive operator
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demicontinuous operator
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Ishikawa iteration sequence with errors
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uniformly smooth Banach space
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strong convergence
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\(\phi\)-strongly pseudocontractive operator
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