Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications

2010 ◽  
Vol 72 (1) ◽  
pp. 99-112 ◽  
Author(s):  
Xiaolong Qin ◽  
Yeol Je Cho ◽  
Shin Min Kang
Keyword(s):  
Fixed Point ◽  
Equilibrium Problems ◽  
Fixed Point Problems ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Generalized Equilibrium ◽  
Viscosity Approximation Methods

scholarly journals Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-15
Author(s):  
Lu-Chuan Ceng ◽  
Ching-Feng Wen ◽  
Chin-Tzong Pang
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Problems ◽  
Approximation Methods ◽  
Viscosity Approximation ◽  
Uniformly Smooth ◽  
Hierarchical Fixed Point ◽  
Viscosity Approximation Methods ◽  
Uniformly Smooth Banach Spaces ◽  
Hierarchical Fixed Point Problems

We propose some relaxed implicit and explicit viscosity approximation methods for hierarchical fixed point problems for a countable family of nonexpansive mappings in uniformly smooth Banach spaces. These relaxed viscosity approximation methods are based on the well-known viscosity approximation method and hybrid steepest-descent method. We obtain some strong convergence theorems under mild conditions.

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