Ishikawa iterative process in uniformly smooth Banach spaces

2001 ◽  
Vol 22 (11) ◽  
pp. 1306-1310
Author(s):  
Huang Zhen-yu
Keyword(s):  
Banach Spaces ◽  
Iterative Process ◽  
Uniformly Smooth ◽  
Uniformly Smooth Banach Spaces ◽  
Ishikawa Iterative Process

scholarly journals Strong Convergence Theorems of Modified Ishikawa Iterative Method for an Infinite Family of Strict Pseudocontractions in Banach Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-18
Author(s):  
Phayap Katchang ◽  
Wiyada Kumam ◽  
Usa Humphries ◽  
Poom Kumam
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Iterative Process ◽  
Iterative Scheme ◽  
Infinite Family ◽  
Strong Convergence Theorem ◽  
Mild Conditions ◽  
Uniformly Smooth ◽  
Uniformly Smooth Banach Spaces ◽  
Ishikawa Iterative Process

We introduce a new modified Ishikawa iterative process and a new W-mapping for computing fixed points of an infinite family of strict pseudocontractions mapping in the framework of q-uniformly smooth Banach spaces. Then, we establish the strong convergence theorem of the proposed iterative scheme under some mild conditions. The results obtained in this paper extend and improve the recent results of Cai and Hu 2010, Dong et al. 2010, Katchang and Kumam 2011 and many others in the literature.

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