Combination of the hybrid steepest-descent method and the viscosity approximation (Q2251576)
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| Language | Label | Description | Also known as |
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| English | Combination of the hybrid steepest-descent method and the viscosity approximation |
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Combination of the hybrid steepest-descent method and the viscosity approximation (English)
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14 July 2014
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In the context of \(q\)-uniformly smooth Banach spaces, the authors prove the convergence of a scheme that extends Yamada's hybrid steepest-descent method and Moudafi's viscosity approximation in their complete forms. The results are applied to minimize a convex function over the fixed-point set of a nonexpansive mapping.
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\(q\)-uniformly smooth
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Banach space
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hybrid steepest-descent method
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viscosity approximation
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convex function
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fixed-point set
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nonexpansive mapping
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