An extragradient-like parallel method for pseudomonotone equilibrium problems and semigroup of nonexpansive mappings
L. Q. Thuy, Ching‐Feng Wen, Jen Chih Yao, Trinh Ngoc Hai · Miskolc mathematical notes/Mathematical notes · 2018
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.