Some results on an infinite family of nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces (Q1938324)
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scientific article; zbMATH DE number 6134185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on an infinite family of nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces |
scientific article; zbMATH DE number 6134185 |
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Some results on an infinite family of nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces (English)
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4 February 2013
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Summary: We study the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings and in the solution set of a variational inequality involving an inverse-strongly monotone mapping based on a viscosity approximation iterative method. Strong convergence theorems to common elements are established in the framework of Hilbert spaces.
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common fixed point
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nonexpansive mapping
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variational inequality
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inverse-strongly monotone mapping
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viscosity approximation
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iterative method
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strong convergence
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Hilbert space
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