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Received March 18, 2018; Accepted December 10, 2018; Published December 23, 2018
Abstract. In this paper, under the framework of real Hilbert spaces, we introduce a new iterative algorithm for finding a common element in the solution set of a generalized equilibrium problem and in the fixed-point sets of a family of nonexpansive mappings. We obtain strong convergence theorems of the common solution problem. An example is provided to support the convergence analysis.
How to Cite this Article:
A. Abkar, M. Shekarbaigi, N. Aghamohammadi, A new iterative algorithm for solving a system of generalized equilibrium problems, Journal of Nonlinear Functional Analysis, Vol. 2018 (2018), Article ID 46, pp. 1-18.