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

Tiêu đềParallel Hybrid Iterative Methods for Variational Inequalities, Equilibrium Problems, and Common Fixed Point Problems
Loại công bốJournal Article
Năm xuất bản2016
Tác giảAnh, PKy, Van Hieu, D
Tạp chíVietnam Journal of Mathematics
Tập44
Trang351–374
ISSN2305-2228
Tóm tắt

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