The subgradient extragradient method for solving mixed equilibrium problems and fixed point problems in Hilbert spaces
Journal of Applied and Numerical Optimization · 2019
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.