EXTRAGRADIENT METHODS FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES

Abstract

In this paper, we suggest an iterative schemes on extragradient methods for finding a common element of the set of solutions of generalized mixed equilibrium problems and fixed points of a nonexpansive mappings, and the set of solutions of a variational inequality problems for inverse strongly monotone mappings. We prove the convergence theorems for the sequences generated by these iterative process in Hilbert spaces.