Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities (Q1762395)
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scientific article; zbMATH DE number 6110381
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities |
scientific article; zbMATH DE number 6110381 |
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Strong convergence theorems for nonexpansive mappings and Ky Fan inequalities (English)
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26 November 2012
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The author introduces a new iteration method and proves strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of a monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on the parameters, the author shows that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported.
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nonexpansive mapping
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fixed point
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monotone
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Lipschitz-type continuous
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Ky Fan inequality
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