Weak Convergence Theorems for Mixed Type Asymptotically Nonexpansive Mappings

2015 ◽  
Vol 48 (3) ◽  
pp. 256-264
Author(s):  
S.Wei and W. Guo
Keyword(s):  
Weak Convergence ◽  
Mixed Type ◽  
Nonexpansive Mappings ◽  
Convergence Theorems ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive

Strong and weak convergence theorems for fixed points of a class of nonlinear mappings

2014 ◽  
Vol 64 (2) ◽  
Author(s):  
Changqun Wu ◽  
Zhiqiang Wei ◽  
Yu Li
Keyword(s):  
Weak Convergence ◽  
Hilbert Spaces ◽  
Nonexpansive Mappings ◽  
Projection Methods ◽  
Convergence Theorems ◽  
Strong And Weak Convergence ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Total Asymptotically Nonexpansive Mappings ◽  
Weak Convergence Theorem

AbstractIn this paper, the class of total asymptotically nonexpansive mappings is considered. A weak convergence theorem of Mann-type iterative algorithm is established. Hybrid projection methods are considered for the class of total asymptotically nonexpansive mappings. Strong convergence theorems are also established in the framework of Hilbert spaces.

Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

2001 ◽  
Vol 43 (3) ◽  
pp. 377-401 ◽  
Author(s):  
Jesús Garcı́a Falset ◽  
Wiesł awa Kaczor ◽  
Tadeusz Kuczumow ◽  
Simeon Reich
Keyword(s):  
Weak Convergence ◽  
Nonexpansive Mappings ◽  
Convergence Theorems ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive
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