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Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings
Authors:Xiaolong Qin  Yeol Je Cho  Meijuan Shang  
Institution: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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