Iterative approximation of fixed point for \(\Phi\)-hemicontractive mapping without Lipschitz assumption (Q2368388)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Iterative approximation of fixed point for \(\Phi\)-hemicontractive mapping without Lipschitz assumption |
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Iterative approximation of fixed point for \(\Phi\)-hemicontractive mapping without Lipschitz assumption (English)
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19 April 2006
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The author studies the strong convergence to a unique fixed point of a uniformly ~\(\phi \)-hemicontrac\-tive mapping on an arbitrary real Banach space of a sequence generated by the Ishikawa scheme with errors. His result excludes the assumption of a Lipschitz condition on the mapping.
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real Banach space
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uniformly continuous mapping
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\(\phi\)-hemicontractive mapping
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Ishikawa iterative scheme
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