Open AccessHybrid viscosity approximation methods for systems of variational inequalities and hierarchical fixed point problems
Author(s) -
Lu-Chuan Ceng,
ChingFeng Wen,
JenChih Yao,
Yonghong Yao
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2006927c
Subject(s) - mathematics , variational inequality , fixed point , constraint (computer aided design) , iterative method , viscosity , mathematical optimization , point (geometry) , mathematical analysis , geometry , physics , quantum mechanics
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.