An Iterative Method for Nonexpansive Mappings and Inverse-strongly Monotone Mappings

2009 ◽  
Author(s):  
Xiaozhe Wang ◽  
Yagang Zhang
Keyword(s):  
Iterative Method ◽  
Nonexpansive Mappings ◽  
Monotone Mappings ◽  
Strongly Monotone ◽  
Inverse Strongly Monotone ◽  
Strongly Monotone Mappings

scholarly journals An Iterative Method with Norm Convergence for a Class of Generalized Equilibrium Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Haixia Zhang ◽  
Fenghui Wang
Keyword(s):  
Fixed Point ◽  
Iterative Method ◽  
Strong Convergence ◽  
Equilibrium Problems ◽  
Nonexpansive Mappings ◽  
Monotone Mappings ◽  
Norm Convergence ◽  
Inverse Strongly Monotone ◽  
Generalized Equilibrium ◽  
Strongly Monotone Mappings

Recently, Takahashi and Takahashi proposed an iterative algorithm for solving a problem for finding common solutions of generalized equilibrium problems governed by inverse strongly monotone mappings and of fixed point problems for nonexpansive mappings. In this paper, we provide a result that allows for the removal of one condition ensuring the strong convergence of the algorithm.

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