Parallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems

TitleParallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems
Publication TypeJournal Article
Year of Publication2015
AuthorsAnh, PKy, Hieu, D
JournalVietnam Journal of Mathematics
Pagination1–24
ISSN2305-2228
Abstract

In this paper, we propose two strongly convergent parallel hybrid iterative methods for finding a common element of the set of fixed points of a family of asymptotically quasi ϕ-nonexpansive mappings, the set of solutions of variational inequalities and the set of solutions of equilibrium problems in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify the efficiency of the proposed parallel algorithms.

URLhttp://dx.doi.org/10.1007/s10013-015-0129-z
DOI10.1007/s10013-015-0129-z