scholarly journals Weak and Strong Convergence Theorems of an Implicit Iteration Process for a Countable Family of Nonexpansive Mappings

2008 ◽  
Vol 2008 (1) ◽  
pp. 732193 ◽  
Author(s):  
Kittikorn Nakprasit ◽  
Weerayuth Nilsrakoo ◽  
Satit Saejung
Keyword(s):  
Strong Convergence ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Countable Family ◽  
Weak And Strong Convergence ◽  
Convergence Theorems ◽  
Implicit Iteration Process ◽  
Implicit Iteration

scholarly journals Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-5
Author(s):  
Qiaohong Jiang ◽  
Jinghai Wang ◽  
Jianhua Huang
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Finite Family ◽  
Uniformly Convex ◽  
Weak And Strong Convergence ◽  
Convergence Theorems ◽  
Uniformly Convex Banach Spaces ◽  
Implicit Iteration

Weak and strong convergence theorems are established for hybrid implicit iteration for a finite family of non-self-nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results.

scholarly journals Strong Convergence of Non-Implicit Iteration Process with Errors in Banach Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-12
Author(s):  
Yan Hao ◽  
Xiaoshuang Wang ◽  
Aihua Tong
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Nonexpansive Mappings ◽  
Iteration Process ◽  
Implicit Iteration Process ◽  
Implicit Iteration

The purpose of this paper is to study the strong convergence of a non-implicit iteration process with errors for asymptoticallyI-nonexpansive mappings in the intermediate sense in the framework of Banach spaces. The results presented in this paper extend and improve the corresponding results recently announced.

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