scholarly journals A hybrid iterative method for a combination of equilibria problem, a combination of variational inequality problems and a hierarchical fixed point problem

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Abdellah Bnouhachem
Keyword(s):  
Fixed Point ◽  
Variational Inequality ◽  
Iterative Method ◽  
Fixed Point Problem ◽  
Variational Inequality Problems ◽  
Point Problem ◽  
Hierarchical Fixed Point Problem ◽  
Hierarchical Fixed Point ◽  
Hybrid Iterative Method

scholarly journals Hybrid viscosity approximation methods for systems of variational inequalities and hierarchical fixed point problems

Filomat ◽  
2020 ◽  
Vol 34 (6) ◽  
pp. 1927-1947
Author(s):  
Lu-Chuan Ceng ◽  
Ching-Feng Wen ◽  
Jen-Chih Yao ◽  
Yonghong Yao
Keyword(s):  
Fixed Point ◽  
Iterative Method ◽  
Variational Inequalities ◽  
Nonexpansive Mappings ◽  
General System ◽  
Fixed Point Problem ◽  
Point Problem ◽  
System Of Variational Inequalities ◽  
Hierarchical Fixed Point Problem ◽  
Hierarchical Fixed Point

In this paper, we propose an implicit iterative method and an explicit iterative method for solving a general system of variational inequalities with a hierarchical fixed point problem constraint for an infinite family of nonexpansive mappings. We show that the proposed algorithms converge strongly to a solution of the general system of variational inequalities, which is a unique solution of the hierarchical fixed point problem.

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