AN EXTRAGRADIENT-LIKE PARALLEL METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND SEMIGROUP OF NONEXPANSIVE MAPPINGS.

In this paper we propose a parallel iterative hybrid methods for finding a common element of the solution sets of a finite family of pseudomonotone equilibrium problems and the fixed points set of a semigroup-nonexpensive mappings in Hilbert spaces. Under mild conditions, we obtain the strong convergence of the proposed iterative process. Some numerical experiments are given to verify the efficiency the proposed algorithm. [ABSTRACT FROM AUTHOR]