Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces (Q1304676)
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scientific article; zbMATH DE number 1340169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces |
scientific article; zbMATH DE number 1340169 |
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Approximation of a solution for a \(K\)-positive definite operator equation in uniformly smooth separable Banach spaces (English)
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4 June 2000
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For a linear equation with a \(K\)-positive definite operator over a separable uniformly smooth Banach space a new iteration method is constructed which converges strongly to a unique solution. This extends a result of \textit{C. E. Chidume} and \textit{M. O. Osilike} [J. Math. Anal. Appl. 210, No. 1, 1-7 (1997; Zbl 0901.47002)].
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\(K\)-positive definite operator
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separable uniformly smooth Banach space
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iteration method
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0.9457325
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0.94130844
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0.9282945
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0.92419964
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