Strong convergence theorems for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive nonself mappings (Q1760556)
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scientific article; zbMATH DE number 6106116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive nonself mappings |
scientific article; zbMATH DE number 6106116 |
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Strong convergence theorems for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive nonself mappings (English)
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15 November 2012
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Summary: The purpose of this paper is to introduce a class of total quasi-\(\phi \)-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.
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strong convergence
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total quasi-\(\phi\)-asymptotically nonexpansive nonself mappings
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1.0000002
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0.99597055
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0.9508978
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