Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces (Q415376)
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scientific article; zbMATH DE number 6031731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces |
scientific article; zbMATH DE number 6031731 |
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Regularization proximal point algorithm for common fixed points of nonexpansive mappings in Banach spaces (English)
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8 May 2012
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This paper discusses strong convergence of a regularization proximal point algorithm for the problem of finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. This is carried out by using techniques from monotone operators. In particular, the convex feasibility problem is analyzed.
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accretive operators
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uniformly smooth and uniformly convex Banach space
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sunny nonexpansive retraction
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weak sequential continuous mapping
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regularization
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