On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces (Q1722193)
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scientific article; zbMATH DE number 7021817
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces |
scientific article; zbMATH DE number 7021817 |
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On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces (English)
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14 February 2019
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Summary: In the setting of Hilbert spaces, inspired by \textit{S. Iemoto} and \textit{W. Takahashi} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e2082--e2089 (2009; Zbl 1239.47054)], we study a Mann's method with viscosity to approximate strongly (common) fixed points of a nonexpansive mapping and a nonspreading mapping. A crucial tool in our results is the nonspreading-average type mapping.
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Mann iteration
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viscosity approximation
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fixed points
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nonexpansive mapping
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nonspreading mapping
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nonspreading-average type mapping
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