Two algorithms for finding the projection of a point onto a nonconvex set in a normed space (Q2840267)
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scientific article; zbMATH DE number 6188982
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two algorithms for finding the projection of a point onto a nonconvex set in a normed space |
scientific article; zbMATH DE number 6188982 |
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17 July 2013
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projection algorithm
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convergence
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Lipshitz condition
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nonconvex surface
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normed space
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0.88408536
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0.8826097
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0.8757135
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0.8733075
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0.87206674
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Two algorithms for finding the projection of a point onto a nonconvex set in a normed space (English)
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Two iteration algorithms are proposed for finding the projection of a point onto a nonconvex set in a normed space, which is given by an equation \(f(x) = 0\). For the first case, the left-hand side of this equation is supposed to satisfy the subordination condition, which generalizes the Lipshitz condition. For the second case, the continuity of the function \(f\) is supposed and an approximate algorithm of projection is constructed.
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