Strong convergence theorems for variational inequality problems and a countable family of total quasi-\phi-asymptotically nonexpansive nonself mappings

2014 ◽  
Vol 9 ◽  
pp. 355-365
Author(s):  
Lijuan Zhang ◽  
Hui Tong
Keyword(s):  
Variational Inequality ◽  
Strong Convergence ◽  
Variational Inequality Problems ◽  
Countable Family ◽  
Convergence Theorems ◽  
Asymptotically Nonexpansive

scholarly journals Strong Convergence Theorems for a Countable Family of Total Quasi-ϕ-Asymptotically Nonexpansive Nonself Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Liang-cai Zhao ◽  
Shih-sen Chang
Keyword(s):  
Strong Convergence ◽  
Banach Spaces ◽  
Equilibrium Problems ◽  
Approximation Problem ◽  
Countable Family ◽  
Convergence Theorems ◽  
Limit Condition ◽  
Asymptotically Nonexpansive ◽  
System Of Equilibrium Problems

The purpose of this paper is to introduce a class of total quasi-ϕ-asymptotically nonexpansive-nonself mappings and to study the strong convergence under a limit condition only in the framework of Banach spaces. As an application, we utilize our results to study the approximation problem of solution to a system of equilibrium problems. The results presented in the paper extend and improve the corresponding results announced by some authors recently.

Strong convergence theorems for a countable family of quasi-ϕ-asymptotically nonexpansive nonself mappings

2012 ◽  
Vol 218 (15) ◽  
pp. 7864-7870 ◽  
Author(s):  
Shih-sen Chang ◽  
Lin Wang ◽  
Yong-Kun Tang ◽  
Bin Wang ◽  
Li-Juan Qin
Keyword(s):  
Strong Convergence ◽  
Countable Family ◽  
Convergence Theorems ◽  
Asymptotically Nonexpansive
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