Viscosity approximation methods for monotone inclusion and fixed point problems in CAT(0) space

2020 ◽  
Author(s):  
Bashir Ali ◽  
Auwalu Ali Alasan
Keyword(s):  
Fixed Point ◽  
Fixed Point Problems ◽  
Approximation Methods ◽  
Monotone Inclusion ◽  
Viscosity Approximation ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document