scholarly journals The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings

2012 ◽  
Author(s):  
Yuanheng Wang ◽  
Weiwei Sun
Keyword(s):  
Strong Convergence ◽  
Iterative Algorithm ◽  
Nonexpansive Mappings ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive

Iterative algorithm for a split equilibrium problem and fixed problem for finite asymptotically nonexpansive mappings in Hlbert space

Filomat ◽  
2017 ◽  
Vol 31 (5) ◽  
pp. 1423-1434 ◽  
Author(s):  
Sheng Wang ◽  
Min Chen
Keyword(s):  
Equilibrium Problem ◽  
Iterative Algorithm ◽  
Nonexpansive Mappings ◽  
Common Element ◽  
Fixed Point Set ◽  
Split Equilibrium Problem ◽  
Asymptotically Nonexpansive Mappings ◽  
Asymptotically Nonexpansive ◽  
Point Set ◽  
The Common

In this paper, we propose an iterative algorithm for finding the common element of solution set of a split equilibrium problem and common fixed point set of a finite family of asymptotically nonexpansive mappings in Hilbert space. The strong convergence of this algorithm is proved.

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