Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball (Q624484)
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scientific article; zbMATH DE number 5848811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball |
scientific article; zbMATH DE number 5848811 |
Statements
Convergence of a sequence of sets in a Hadamard space and the shrinking projection method for a real Hilbert ball (English)
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9 February 2011
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Summary: We propose a new concept of set convergence in a Hadamard space and obtain its equivalent condition by using the notion of metric projections. Applying this result, we also prove a convergence theorem for an iterative scheme by the shrinking projection method in a real Hilbert ball.
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set convergence
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Hadamard space
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metric projections
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convergence
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iterative scheme
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shrinking projection method
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real Hilbert ball
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