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Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings |
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| Authors: | Xiaolong Qin Yeol Je Cho Meijuan Shang |
| Affiliation: | aDepartment of Mathematics, Gyeongsang National University, Chinju 660-701, Republic of Korea;bDepartment of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea;cDepartment of Mathematics, Shijiazhuang University, Shijiazhuang 050035, China |
| Abstract: | In this paper, we consider the weak and strong convergence of an implicit iterative process with errors for two finite families of asymptotically nonexpansive mappings in the framework of Banach spaces. Our results presented in this paper improve and extend the recent ones announced by many others. |
| Keywords: | Asymptotically nonexpansive mapping Implicit iterative algorithm Banach space Common fixed point |
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