Three-step iterative convergence theorems with errors in Banach spaces (Q2493611)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Three-step iterative convergence theorems with errors in Banach spaces |
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Three-step iterative convergence theorems with errors in Banach spaces (English)
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26 June 2006
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The author has used Jensen's inequality and new methods to construct some simplified conditions to establish sufficient and necessary conditions for the strong convergence of a sequence \(\{ x_n\} \) generated by three-step iteration process with errors to a fixed point of a given Lipschitzian operator \(T\). The uniqueness of this fixed point of \(T\) is discussed. His results improve and extend several results in the literature.
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\(q\)-uniformly smooth Banach spaces
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Jensen inequality
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Lipschitz map
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strictly pseudocontractive maps
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strongly pseudocontractive maps
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three-step iteration process with errors
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