On the need for hybrid steps in hybrid proximal point methods (Q1604053)
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scientific article; zbMATH DE number 1762711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the need for hybrid steps in hybrid proximal point methods |
scientific article; zbMATH DE number 1762711 |
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On the need for hybrid steps in hybrid proximal point methods (English)
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3 July 2002
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The paper deals with the proximal point method for finding zeroes of monotone operators in a Hilbert space. It is shown that the hybrid steps on the hybrid proximal point methods, allowing for constant relative errors, are necessary in order to ensure the boundedness of the iterates, even in the optimization case. It is proved that such conditions do not imply that the sequence of errors should become summable a posteriori.
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proximal point method
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relative error
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inexact solutions
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hybrid steps
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