Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
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- Van Hieu, D., Muu, L.D. & Anh, P.K. Numer Algor (2016) 73: 197. doi:10.1007/s11075-015-0092-5
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In this paper we propose and analyze three parallel hybrid extragradient methods for finding a common element of the set of solutions of equilibrium problems involving pseudomonotone bifunctions and the set of fixed points of nonexpansive mappings in a real Hilbert space. Based on parallel computation we can reduce the overall computational effort under widely used conditions on the bifunctions and the nonexpansive mappings. A simple numerical example is given to illustrate the proposed parallel algorithms.