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Received August 23, 2019; Accepted March 30, 2020; Published April 12, 2020
Abstract. In this paper, we introduce some iterative algorithms to find common elements in the solution set of a family of pseudomonotone equilibrium problems and the fixed point set of a family of nonself-nonexpansive mappings on the different subsets of a Hilbert space. The strong convergence of these algorithms are obtained. Finally, a numerical example is given to illustrate the main results of this paper.
How to Cite this Article:
Lu Wang, Lanxiang Yu, Tian Li, Parallel extragradient algorithms for a family of pseudomonotone equilibrium problems and fixed point problems of nonself-nonexpansive mappings in Hilbert space, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 13, pp. 1-16