Viscosity approximation methods for a family of nonexpansive mappings in CAT(0) spaces (Q1724001)
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scientific article; zbMATH DE number 7022288
| Language | Label | Description | Also known as |
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| English | Viscosity approximation methods for a family of nonexpansive mappings in CAT(0) spaces |
scientific article; zbMATH DE number 7022288 |
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Viscosity approximation methods for a family of nonexpansive mappings in CAT(0) spaces (English)
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14 February 2019
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Summary: The purpose of this paper is using the viscosity approximation method to study the strong convergence problem for a family of nonexpansive mappings in CAT(0) spaces. Under suitable conditions, some strong convergence theorems for the proposed implicit and explicit iterative schemes to converge to a common fixed point of the family of nonexpansive mappings are proved which is also a unique solution of some kind of variational inequalities. The results presented in this paper extend and improve the corresponding results of some others.
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viscosity approximation method
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strong convergence
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nonexpansive mappings
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CAT(0) spaces
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implicit iterative schemes
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