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Volume 1, Issue 3, 31 December 2019, Pages 335-345
Abstract. In this paper, we introduce an iterative method based on hybrid methods and hybrid extragradient methods for finding a common solution of mixed equilibrium problems and fixed point problems of nonexpansive mappings in a real Hilbert space. We define the notion of generalized skew-symmetric bifunctions which is a natural extension of a skew-symmetric bifunctions. Further, we prove that the sequences generated by the proposed iterative scheme converge strongly to a common solution of these systems. The results presented in this paper are the supplements, extensions and generalizations of the previously known results in this area.
How to Cite this Article:
Mohammad Farid, The subgradient extragradient method for solving mixed equilibrium problems and fixed point problems in Hilbert spaces, J. Appl. Numer. Optim. 1 (2019), 335-345.