On weak and strong convergence theorems for a finite family of nonself I-asymptotically nonexpansive mappings
| Autor: | Gündüz Birol, Akbulut Sezgin |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Mathematica Moravica, Vol 19, Iss 2, Pp 49-64 (2015) |
| Druh dokumentu: | article |
| ISSN: | 1450-5932 2560-5542 |
| Popis: | We prove the weak and strong convergence of S iterative scheme to a common fixed point of a family of nonself asymptotically I-nonexpansive mappings {Ti}Ni i and a family of nonself asymptotically nonexpansive mappings {Ii}Ni i defined on a nonempty closed convex subset of a Banach space. Our scheme converges faster than Mann and Ishikawa iteration for contractions. Our weak convergence theorem is proved under more general setup of space as different from weak convergence theorems proved in previously. |
| Databáze: | Directory of Open Access Journals |
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