Approximation of Composite Implicit Iteration Process for Common Fixed Points of General Asymptotically Nonexpansive Mappings

2011 ◽  
Author(s):  
Chen Xiaomin ◽  
Feng Yuan-yuan ◽  
Xie Xuping
Keyword(s):  
Fixed Points ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Common Fixed Points ◽  
Implicit Iteration Process ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Implicit Iteration

scholarly journals Convergence of an implicit iteration process with errors for two asymptotically nonexpansive mappings

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
Seyit Temir
Keyword(s):  
Iterative Process ◽  
Nonexpansive Mappings ◽  
Iterative Algorithms ◽  
Iteration Process ◽  
Weak And Strong Convergence ◽  
Implicit Iteration Process ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Implicit Iteration ◽  
Appl Math

AbstractThe purpose of this paper is to introduce an implicit iterative process with errors for approximating common fixed point of two finite families of asymptotically nonexpansive mappings in the framework of Banach space. The results presented in this paper extend and generalize the corresponding results of Qin et al. [Convergence analysis of implicit iterative algorithms for asymptotically nonexpansive mappings, Appl. Math. Comp. 210 (2009), 542–550], Thakur [Weak and strong convergence of composite implicit iteration process, Appl. Math. Comp. 190 (2007), 965–973] and some others.

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