Convergence of iterative algorithms for multivalued mappings in Banach spaces |
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Authors: | Yisheng Song Hongjun Wang |
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Affiliation: | College of Mathematics and Information Science, Henan Normal University, 453007, PR China |
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Abstract: | We show strong and weak convergence for Mann iteration of multivalued nonexpansive mappings T in a Banach space. Furthermore, we give a strong convergence of the modified Mann iteration which is independent of the convergence of the implicit anchor-like continuous path zt∈tu+(1−t)Tzt. |
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Keywords: | 47H06 47J05 47J25 47H10 47H17 |
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