Parallel hybrid iterative methods for variational inequalities, equilibrium problems and common fixed point problems
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(Sj)\j=1N, the set of solutions of variational inequalities \VI(Ai,C)\i=1M and the set of solutions of equilibrium problems \EP(fk)\k=1K 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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