A new hybrid general iterative algorithm for common solutions of generalized mixed equilibrium problems and variational inclusions
Kriengsak Wattanawitoon, Thanyarat Jitpeera, Poom Kumam · Journal of Inequalities and Applications · 2012
Abstract In this article, we introduce a new general iterative method for finding a common element of the set of solutions generalized for mixed equilibrium problems, the set of solution for fixed point for nonexpansive mappings and the set of solutions for the variational inclusions for β 1, β 2-inverse-strongly monotone mappings in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above sets under some suitable conditions. Our results improve and extend the corresponding results of Marino and Xu, Su et al., Tan and Chang and some authors. Mathematics subject Classification: 46C05; 47H09; 47H10.