The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example (Q1985924)
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scientific article; zbMATH DE number 7187885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example |
scientific article; zbMATH DE number 7187885 |
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The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example (English)
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7 April 2020
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A new viscosity approximation method is employed to obtain a strong convergence theorem for finding the set of fixed points of a $G$-nonexpansive mapping in a Hilbert space endowed with a directed graph. The result generalizes some well-known results in the literature. A~numerical example is provided to support the claims, with some consequences of the obtained result given as remarks.
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\(G\)-nonexpansive mappings
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viscosity approximation method
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edge-preserving
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strong convergence
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Hilbert space
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