Strong convergence theorems for modifying Halpern iterations for quasi-\(\phi\)-asymptotically nonexpansive multivalued mapping in Banach spaces with applications (Q1952975)
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scientific article; zbMATH DE number 6170006
| Language | Label | Description | Also known as |
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| English | Strong convergence theorems for modifying Halpern iterations for quasi-\(\phi\)-asymptotically nonexpansive multivalued mapping in Banach spaces with applications |
scientific article; zbMATH DE number 6170006 |
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Strong convergence theorems for modifying Halpern iterations for quasi-\(\phi\)-asymptotically nonexpansive multivalued mapping in Banach spaces with applications (English)
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3 June 2013
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Summary: An iterative sequence for quasi-\(\phi\)-asymptotically nonexpansive multivalued mapping for modifying Halpern's iterations is introduced. Under suitable conditions, some strong convergence theorems are proved. The results presented in the paper improve and extend the corresponding results in the work by \textit{S.-S. Chang} et al. [Appl. Math. Comput. 217, No.~18, 7520--7530 (2011; Zbl 1221.65132)].
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iterative algorithm
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quasi-\(\phi\)-asymptotically nonexpansive multivalued mapping
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modified Halpern iteration
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strong convergence
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