Hybrid viscosity approximation methods for systems of variational inequalities and hierarchical fixed point problems | Zendy

Lu-Chuan Ceng | Zendy; ChingFeng Wen | Zendy; JenChih Yao | Zendy; Yonghong Yao | Zendy

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Hybrid 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.

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