scholarly journals Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces

2010 ◽  
Vol 30 (3) ◽  
pp. 331 ◽  
Author(s):  
Gurucharan Singh Saluja ◽  
Hemant Kumar Nashine
Keyword(s):  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Finite Family ◽  
Implicit Iteration Process ◽  
Convex Metric Spaces ◽  
Implicit Iteration

scholarly journals Fixed point theorems of finite family with errors for asymptotically quasi-nonexpansive mappings in convex metric spaces

Filomat ◽  
2009 ◽  
Vol 23 (3) ◽  
pp. 155-166
Author(s):  
Singh Saluja
Keyword(s):  
Fixed Point ◽  
Recent Result ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Finite Family ◽  
Convex Metric Spaces

In this paper, we prove that a multi-step iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converges strongly to a common fixed point of the mappings in convex metric spaces. Our results extend and improve the recent result of Kim et al. [9, 10] and many known results.

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