scholarly journals Mixed type iteration for total asymptotically nonexpansive mappings in hyperbolic spaces

2013 ◽  
Vol 2013 (1) ◽  
pp. 353 ◽  
Author(s):  
Liang-cai Zhao ◽  
Shih-sen Chang ◽  
Jong Kim
Keyword(s):  
Mixed Type ◽  
Nonexpansive Mappings ◽  
Hyperbolic Spaces ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings

scholarly journals Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Liang-cai Zhao ◽  
Shih-sen Chang ◽  
Xiong Rui Wang
Keyword(s):  
Current Literature ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Hyperbolic Spaces ◽  
Convergence Theorems ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings

The purpose of this paper is to introduce the concept oftotal asymptotically nonexpansive mappingsand to prove someΔ-convergence theorems of the iteration process for this kind of mappings in the setting ofhyperbolic spaces. The results presented in the paper extend and improve some recent results announced in the current literature.

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