A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems (Q1021801)
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scientific article; zbMATH DE number 5563100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems |
scientific article; zbMATH DE number 5563100 |
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A general framework for the over-relaxed A-proximal point algorithm and applications to inclusion problems (English)
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9 June 2009
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Using the concept of \(A\)-monotonicity in a Hilbert space, the author applies the generalized over-relaxed A-proximal point algorithm to approximate the solution of the following inclusion problem: Find \(x\) such that \(0\in Mx\). As a result, linear convergence of the resulting method is established under standard assumptions.
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variational inclusions
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maximal monotone mapping
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\(A\)-maximal monotone mapping
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generalized resolvent operator
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over-relaxed \(A\)-proximal point algorithm
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