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arXiv · 1510.08006

Parallel hybrid iterative methods for variational inequalities, equilibrium problems and common fixed point problems

Pham Ky Anh·Dang Van Hieu
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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 quasi $ϕ$-asymptotically nonexpansive mappings $\{F(S_j)\}_{j=1}^N$, the set of solutions of variational inequalities $\{VI(A_i,C)\}_{i=1}^M$ and the set of solutions of equilibrium problems $\{EP(f_k)\}_{k=1}^K$ in uniformly smooth and 2-uniformly convex Banach spaces. A numerical experiment is given to verify the efficiency of the proposed parallel algorithms.

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Pham Ky Anh, Dang Van Hieu. 2015-10-27. Parallel hybrid iterative methods for variational inequalities, equilibrium problems and common fixed point problems. https://doi.org/10.1007/s10013-015-0129-z

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